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Finding the Third Proportional to 15,088,308,414 and 31,740,221,226

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Solution

The third proportional to 15,088,308,414 and 31,740,221,226 is: 66,769,687,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,088,308,414 : 31,740,221,226 = 31,740,221,226 : x
  2. Step 2: Convert to fraction form
    15,088,308,414/31,740,221,226 = 31,740,221,226/x
  3. Step 3: Cross multiply
    15,088,308,414x = 31,740,221,226 × 31,740,221,226
  4. Step 4: Simplify right side
    15,088,308,414x = 1,007,441,643,475,420,971,008
  5. Step 5: Solve for x
    x = 1,007,441,643,475,420,971,008/15,088,308,414
  6. Step 6: Final answer
    x = 66,769,687,882.35

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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.