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Finding the Third Proportional to 51,803,790 and 77,625,877.50

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Solution

The third proportional to 51,803,790 and 77,625,877.50 is: 116,319,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,803,790 : 77,625,877.50 = 77,625,877.50 : x
  2. Step 2: Convert to fraction form
    51,803,790/77,625,877.50 = 77,625,877.50/x
  3. Step 3: Cross multiply
    51,803,790x = 77,625,877.50 × 77,625,877.50
  4. Step 4: Simplify right side
    51,803,790x = 6,025,776,857,645,006
  5. Step 5: Solve for x
    x = 6,025,776,857,645,006/51,803,790
  6. Step 6: Final answer
    x = 116,319,227.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.