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Finding the Third Proportional to 371,489,811 and 801,149,316

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Solution

The third proportional to 371,489,811 and 801,149,316 is: 1,727,746,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,489,811 : 801,149,316 = 801,149,316 : x
  2. Step 2: Convert to fraction form
    371,489,811/801,149,316 = 801,149,316/x
  3. Step 3: Cross multiply
    371,489,811x = 801,149,316 × 801,149,316
  4. Step 4: Simplify right side
    371,489,811x = 641,840,226,527,267,840
  5. Step 5: Solve for x
    x = 641,840,226,527,267,840/371,489,811
  6. Step 6: Final answer
    x = 1,727,746,515.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.