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Finding the Third Proportional to 9,103,894,278,562 and 19,658,791,416,228

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Solution

The third proportional to 9,103,894,278,562 and 19,658,791,416,228 is: 42,450,853,241,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103,894,278,562 : 19,658,791,416,228 = 19,658,791,416,228 : x
  2. Step 2: Convert to fraction form
    9,103,894,278,562/19,658,791,416,228 = 19,658,791,416,228/x
  3. Step 3: Cross multiply
    9,103,894,278,562x = 19,658,791,416,228 × 19,658,791,416,228
  4. Step 4: Simplify right side
    9,103,894,278,562x = 386,468,079,946,759,671,067,443,200
  5. Step 5: Solve for x
    x = 386,468,079,946,759,671,067,443,200/9,103,894,278,562
  6. Step 6: Final answer
    x = 42,450,853,241,652.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.