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Finding the Third Proportional to 715,727,558 and 1,565,430,412

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Solution

The third proportional to 715,727,558 and 1,565,430,412 is: 3,423,889,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,727,558 : 1,565,430,412 = 1,565,430,412 : x
  2. Step 2: Convert to fraction form
    715,727,558/1,565,430,412 = 1,565,430,412/x
  3. Step 3: Cross multiply
    715,727,558x = 1,565,430,412 × 1,565,430,412
  4. Step 4: Simplify right side
    715,727,558x = 2,450,572,374,814,489,600
  5. Step 5: Solve for x
    x = 2,450,572,374,814,489,600/715,727,558
  6. Step 6: Final answer
    x = 3,423,889,924.91

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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.