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Finding the Third Proportional to 2,614,635,224 and 5,602,282,490

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Solution

The third proportional to 2,614,635,224 and 5,602,282,490 is: 12,003,804,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614,635,224 : 5,602,282,490 = 5,602,282,490 : x
  2. Step 2: Convert to fraction form
    2,614,635,224/5,602,282,490 = 5,602,282,490/x
  3. Step 3: Cross multiply
    2,614,635,224x = 5,602,282,490 × 5,602,282,490
  4. Step 4: Simplify right side
    2,614,635,224x = 31,385,569,097,760,600,064
  5. Step 5: Solve for x
    x = 31,385,569,097,760,600,064/2,614,635,224
  6. Step 6: Final answer
    x = 12,003,804,129.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.