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Finding the Third Proportional to 1,572,730,624 and 2,441,964,117

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Solution

The third proportional to 1,572,730,624 and 2,441,964,117 is: 3,791,614,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572,730,624 : 2,441,964,117 = 2,441,964,117 : x
  2. Step 2: Convert to fraction form
    1,572,730,624/2,441,964,117 = 2,441,964,117/x
  3. Step 3: Cross multiply
    1,572,730,624x = 2,441,964,117 × 2,441,964,117
  4. Step 4: Simplify right side
    1,572,730,624x = 5,963,188,748,715,589,632
  5. Step 5: Solve for x
    x = 5,963,188,748,715,589,632/1,572,730,624
  6. Step 6: Final answer
    x = 3,791,614,824.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.