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Finding the Third Proportional to 4,711,357,364 and 10,207,887,427

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Solution

The third proportional to 4,711,357,364 and 10,207,887,427 is: 22,116,973,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711,357,364 : 10,207,887,427 = 10,207,887,427 : x
  2. Step 2: Convert to fraction form
    4,711,357,364/10,207,887,427 = 10,207,887,427/x
  3. Step 3: Cross multiply
    4,711,357,364x = 10,207,887,427 × 10,207,887,427
  4. Step 4: Simplify right side
    4,711,357,364x = 104,200,965,722,304,675,840
  5. Step 5: Solve for x
    x = 104,200,965,722,304,675,840/4,711,357,364
  6. Step 6: Final answer
    x = 22,116,973,447.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.