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Finding the Third Proportional to 70,414,613 and 107,713,079

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Solution

The third proportional to 70,414,613 and 107,713,079 is: 164,768,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,414,613 : 107,713,079 = 107,713,079 : x
  2. Step 2: Convert to fraction form
    70,414,613/107,713,079 = 107,713,079/x
  3. Step 3: Cross multiply
    70,414,613x = 107,713,079 × 107,713,079
  4. Step 4: Simplify right side
    70,414,613x = 11,602,107,387,660,240
  5. Step 5: Solve for x
    x = 11,602,107,387,660,240/70,414,613
  6. Step 6: Final answer
    x = 164,768,460.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.