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Finding the Third Proportional to 1,897,427,356,053.80 and 2,890,599,328,810.20

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Solution

The third proportional to 1,897,427,356,053.80 and 2,890,599,328,810.20 is: 4,403,628,129,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897,427,356,053.80 : 2,890,599,328,810.20 = 2,890,599,328,810.20 : x
  2. Step 2: Convert to fraction form
    1,897,427,356,053.80/2,890,599,328,810.20 = 2,890,599,328,810.20/x
  3. Step 3: Cross multiply
    1,897,427,356,053.80x = 2,890,599,328,810.20 × 2,890,599,328,810.20
  4. Step 4: Simplify right side
    1,897,427,356,053.80x = 8,355,564,479,717,979,623,260,160
  5. Step 5: Solve for x
    x = 8,355,564,479,717,979,623,260,160/1,897,427,356,053.80
  6. Step 6: Final answer
    x = 4,403,628,129,983.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.