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Finding the Third Proportional to 35,506,764 and 76,498,542

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Solution

The third proportional to 35,506,764 and 76,498,542 is: 164,814,426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,506,764 : 76,498,542 = 76,498,542 : x
  2. Step 2: Convert to fraction form
    35,506,764/76,498,542 = 76,498,542/x
  3. Step 3: Cross multiply
    35,506,764x = 76,498,542 × 76,498,542
  4. Step 4: Simplify right side
    35,506,764x = 5,852,026,928,125,764
  5. Step 5: Solve for x
    x = 5,852,026,928,125,764/35,506,764
  6. Step 6: Final answer
    x = 164,814,426.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.