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Finding the Third Proportional to 9,103,894,278,558 and 19,658,791,416,220

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Solution

The third proportional to 9,103,894,278,558 and 19,658,791,416,220 is: 42,450,853,241,637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103,894,278,558 : 19,658,791,416,220 = 19,658,791,416,220 : x
  2. Step 2: Convert to fraction form
    9,103,894,278,558/19,658,791,416,220 = 19,658,791,416,220/x
  3. Step 3: Cross multiply
    9,103,894,278,558x = 19,658,791,416,220 × 19,658,791,416,220
  4. Step 4: Simplify right side
    9,103,894,278,558x = 386,468,079,946,445,142,022,422,528
  5. Step 5: Solve for x
    x = 386,468,079,946,445,142,022,422,528/9,103,894,278,558
  6. Step 6: Final answer
    x = 42,450,853,241,637.08

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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.