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Finding the Third Proportional to 51,046,470 and 78,461,730

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Solution

The third proportional to 51,046,470 and 78,461,730 is: 120,600,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,046,470 : 78,461,730 = 78,461,730 : x
  2. Step 2: Convert to fraction form
    51,046,470/78,461,730 = 78,461,730/x
  3. Step 3: Cross multiply
    51,046,470x = 78,461,730 × 78,461,730
  4. Step 4: Simplify right side
    51,046,470x = 6,156,243,074,592,900
  5. Step 5: Solve for x
    x = 6,156,243,074,592,900/51,046,470
  6. Step 6: Final answer
    x = 120,600,759.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.