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Finding the Third Proportional to 64,125,113 and 134,548,786

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Solution

The third proportional to 64,125,113 and 134,548,786 is: 282,313,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,125,113 : 134,548,786 = 134,548,786 : x
  2. Step 2: Convert to fraction form
    64,125,113/134,548,786 = 134,548,786/x
  3. Step 3: Cross multiply
    64,125,113x = 134,548,786 × 134,548,786
  4. Step 4: Simplify right side
    64,125,113x = 18,103,375,814,073,796
  5. Step 5: Solve for x
    x = 18,103,375,814,073,796/64,125,113
  6. Step 6: Final answer
    x = 282,313,355.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.