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Finding the Third Proportional to 51,866,653.50 and 84,684,610.13

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Solution

The third proportional to 51,866,653.50 and 84,684,610.13 is: 138,267,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,866,653.50 : 84,684,610.13 = 84,684,610.13 : x
  2. Step 2: Convert to fraction form
    51,866,653.50/84,684,610.13 = 84,684,610.13/x
  3. Step 3: Cross multiply
    51,866,653.50x = 84,684,610.13 × 84,684,610.13
  4. Step 4: Simplify right side
    51,866,653.50x = 7,171,483,192,023,253
  5. Step 5: Solve for x
    x = 7,171,483,192,023,253/51,866,653.50
  6. Step 6: Final answer
    x = 138,267,705.90

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.