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Finding the Third Proportional to 75,714,754,518 and 163,518,572,747

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Solution

The third proportional to 75,714,754,518 and 163,518,572,747 is: 353,145,484,039.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,714,754,518 : 163,518,572,747 = 163,518,572,747 : x
  2. Step 2: Convert to fraction form
    75,714,754,518/163,518,572,747 = 163,518,572,747/x
  3. Step 3: Cross multiply
    75,714,754,518x = 163,518,572,747 × 163,518,572,747
  4. Step 4: Simplify right side
    75,714,754,518x = 26,738,323,633,215,929,057,280
  5. Step 5: Solve for x
    x = 26,738,323,633,215,929,057,280/75,714,754,518
  6. Step 6: Final answer
    x = 353,145,484,039.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.