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Finding the Third Proportional to 70,275,087,276 and 107,059,234,424

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Solution

The third proportional to 70,275,087,276 and 107,059,234,424 is: 163,097,338,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,275,087,276 : 107,059,234,424 = 107,059,234,424 : x
  2. Step 2: Convert to fraction form
    70,275,087,276/107,059,234,424 = 107,059,234,424/x
  3. Step 3: Cross multiply
    70,275,087,276x = 107,059,234,424 × 107,059,234,424
  4. Step 4: Simplify right side
    70,275,087,276x = 11,461,679,675,452,986,228,736
  5. Step 5: Solve for x
    x = 11,461,679,675,452,986,228,736/70,275,087,276
  6. Step 6: Final answer
    x = 163,097,338,185.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.