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Finding the Third Proportional to 48,386,933 and 71,673,363

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Solution

The third proportional to 48,386,933 and 71,673,363 is: 106,166,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,386,933 : 71,673,363 = 71,673,363 : x
  2. Step 2: Convert to fraction form
    48,386,933/71,673,363 = 71,673,363/x
  3. Step 3: Cross multiply
    48,386,933x = 71,673,363 × 71,673,363
  4. Step 4: Simplify right side
    48,386,933x = 5,137,070,963,729,769
  5. Step 5: Solve for x
    x = 5,137,070,963,729,769/48,386,933
  6. Step 6: Final answer
    x = 106,166,492.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.