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Finding the Third Proportional to 564,187,691 and 854,813,752.50

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Solution

The third proportional to 564,187,691 and 854,813,752.50 is: 1,295,147,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,187,691 : 854,813,752.50 = 854,813,752.50 : x
  2. Step 2: Convert to fraction form
    564,187,691/854,813,752.50 = 854,813,752.50/x
  3. Step 3: Cross multiply
    564,187,691x = 854,813,752.50 × 854,813,752.50
  4. Step 4: Simplify right side
    564,187,691x = 730,706,551,463,131,264
  5. Step 5: Solve for x
    x = 730,706,551,463,131,264/564,187,691
  6. Step 6: Final answer
    x = 1,295,147,985.54

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Why These Related Problems?

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