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Finding the Third Proportional to 68,064,023 and 149,352,862

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Solution

The third proportional to 68,064,023 and 149,352,862 is: 327,724,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,064,023 : 149,352,862 = 149,352,862 : x
  2. Step 2: Convert to fraction form
    68,064,023/149,352,862 = 149,352,862/x
  3. Step 3: Cross multiply
    68,064,023x = 149,352,862 × 149,352,862
  4. Step 4: Simplify right side
    68,064,023x = 22,306,277,387,591,044
  5. Step 5: Solve for x
    x = 22,306,277,387,591,044/68,064,023
  6. Step 6: Final answer
    x = 327,724,933.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.