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Finding the Third Proportional to 75,004,734 and 112,706,788

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Solution

The third proportional to 75,004,734 and 112,706,788 is: 169,360,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,004,734 : 112,706,788 = 112,706,788 : x
  2. Step 2: Convert to fraction form
    75,004,734/112,706,788 = 112,706,788/x
  3. Step 3: Cross multiply
    75,004,734x = 112,706,788 × 112,706,788
  4. Step 4: Simplify right side
    75,004,734x = 12,702,820,061,276,944
  5. Step 5: Solve for x
    x = 12,702,820,061,276,944/75,004,734
  6. Step 6: Final answer
    x = 169,360,244.13

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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.