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Finding the Third Proportional to 715,727,550 and 1,565,430,396

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Solution

The third proportional to 715,727,550 and 1,565,430,396 is: 3,423,889,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,727,550 : 1,565,430,396 = 1,565,430,396 : x
  2. Step 2: Convert to fraction form
    715,727,550/1,565,430,396 = 1,565,430,396/x
  3. Step 3: Cross multiply
    715,727,550x = 1,565,430,396 × 1,565,430,396
  4. Step 4: Simplify right side
    715,727,550x = 2,450,572,324,720,716,800
  5. Step 5: Solve for x
    x = 2,450,572,324,720,716,800/715,727,550
  6. Step 6: Final answer
    x = 3,423,889,893.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.