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Finding the Third Proportional to 34,241,034 and 75,864,894

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Solution

The third proportional to 34,241,034 and 75,864,894 is: 168,087,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,241,034 : 75,864,894 = 75,864,894 : x
  2. Step 2: Convert to fraction form
    34,241,034/75,864,894 = 75,864,894/x
  3. Step 3: Cross multiply
    34,241,034x = 75,864,894 × 75,864,894
  4. Step 4: Simplify right side
    34,241,034x = 5,755,482,141,631,236
  5. Step 5: Solve for x
    x = 5,755,482,141,631,236/34,241,034
  6. Step 6: Final answer
    x = 168,087,276.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.