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Finding the Third Proportional to 53,866,731 and 83,578,953

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Solution

The third proportional to 53,866,731 and 83,578,953 is: 129,680,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,866,731 : 83,578,953 = 83,578,953 : x
  2. Step 2: Convert to fraction form
    53,866,731/83,578,953 = 83,578,953/x
  3. Step 3: Cross multiply
    53,866,731x = 83,578,953 × 83,578,953
  4. Step 4: Simplify right side
    53,866,731x = 6,985,441,384,576,209
  5. Step 5: Solve for x
    x = 6,985,441,384,576,209/53,866,731
  6. Step 6: Final answer
    x = 129,680,068.85

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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.