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Finding the Third Proportional to 715,727,574 and 1,565,430,444

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Solution

The third proportional to 715,727,574 and 1,565,430,444 is: 3,423,889,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,727,574 : 1,565,430,444 = 1,565,430,444 : x
  2. Step 2: Convert to fraction form
    715,727,574/1,565,430,444 = 1,565,430,444/x
  3. Step 3: Cross multiply
    715,727,574x = 1,565,430,444 × 1,565,430,444
  4. Step 4: Simplify right side
    715,727,574x = 2,450,572,475,002,037,248
  5. Step 5: Solve for x
    x = 2,450,572,475,002,037,248/715,727,574
  6. Step 6: Final answer
    x = 3,423,889,988.35

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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.