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Finding the Third Proportional to 1,728,737,569,570.50 and 3,843,996,186,349.80

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Solution

The third proportional to 1,728,737,569,570.50 and 3,843,996,186,349.80 is: 8,547,455,056,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,737,569,570.50 : 3,843,996,186,349.80 = 3,843,996,186,349.80 : x
  2. Step 2: Convert to fraction form
    1,728,737,569,570.50/3,843,996,186,349.80 = 3,843,996,186,349.80/x
  3. Step 3: Cross multiply
    1,728,737,569,570.50x = 3,843,996,186,349.80 × 3,843,996,186,349.80
  4. Step 4: Simplify right side
    1,728,737,569,570.50x = 14,776,306,680,671,804,158,115,840
  5. Step 5: Solve for x
    x = 14,776,306,680,671,804,158,115,840/1,728,737,569,570.50
  6. Step 6: Final answer
    x = 8,547,455,056,664.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.