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Finding the Third Proportional to 715,727,569 and 1,565,430,434

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Solution

The third proportional to 715,727,569 and 1,565,430,434 is: 3,423,889,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,727,569 : 1,565,430,434 = 1,565,430,434 : x
  2. Step 2: Convert to fraction form
    715,727,569/1,565,430,434 = 1,565,430,434/x
  3. Step 3: Cross multiply
    715,727,569x = 1,565,430,434 × 1,565,430,434
  4. Step 4: Simplify right side
    715,727,569x = 2,450,572,443,693,428,224
  5. Step 5: Solve for x
    x = 2,450,572,443,693,428,224/715,727,569
  6. Step 6: Final answer
    x = 3,423,889,968.52

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