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Finding the Third Proportional to 350,471,355 and 747,851,490.50

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Solution

The third proportional to 350,471,355 and 747,851,490.50 is: 1,595,799,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,471,355 : 747,851,490.50 = 747,851,490.50 : x
  2. Step 2: Convert to fraction form
    350,471,355/747,851,490.50 = 747,851,490.50/x
  3. Step 3: Cross multiply
    350,471,355x = 747,851,490.50 × 747,851,490.50
  4. Step 4: Simplify right side
    350,471,355x = 559,281,851,843,071,616
  5. Step 5: Solve for x
    x = 559,281,851,843,071,616/350,471,355
  6. Step 6: Final answer
    x = 1,595,799,039.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.