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Finding the Third Proportional to 715,727,554 and 1,565,430,404

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Solution

The third proportional to 715,727,554 and 1,565,430,404 is: 3,423,889,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,727,554 : 1,565,430,404 = 1,565,430,404 : x
  2. Step 2: Convert to fraction form
    715,727,554/1,565,430,404 = 1,565,430,404/x
  3. Step 3: Cross multiply
    715,727,554x = 1,565,430,404 × 1,565,430,404
  4. Step 4: Simplify right side
    715,727,554x = 2,450,572,349,767,603,200
  5. Step 5: Solve for x
    x = 2,450,572,349,767,603,200/715,727,554
  6. Step 6: Final answer
    x = 3,423,889,909.05

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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.