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Finding the Third Proportional to 71,778,826 and 107,641,887

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Solution

The third proportional to 71,778,826 and 107,641,887 is: 161,423,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,778,826 : 107,641,887 = 107,641,887 : x
  2. Step 2: Convert to fraction form
    71,778,826/107,641,887 = 107,641,887/x
  3. Step 3: Cross multiply
    71,778,826x = 107,641,887 × 107,641,887
  4. Step 4: Simplify right side
    71,778,826x = 11,586,775,836,920,768
  5. Step 5: Solve for x
    x = 11,586,775,836,920,768/71,778,826
  6. Step 6: Final answer
    x = 161,423,312.17

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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.