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Finding the Third Proportional to 9,103,894,278,556 and 19,658,791,416,216

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Solution

The third proportional to 9,103,894,278,556 and 19,658,791,416,216 is: 42,450,853,241,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103,894,278,556 : 19,658,791,416,216 = 19,658,791,416,216 : x
  2. Step 2: Convert to fraction form
    9,103,894,278,556/19,658,791,416,216 = 19,658,791,416,216/x
  3. Step 3: Cross multiply
    9,103,894,278,556x = 19,658,791,416,216 × 19,658,791,416,216
  4. Step 4: Simplify right side
    9,103,894,278,556x = 386,468,079,946,287,911,859,650,560
  5. Step 5: Solve for x
    x = 386,468,079,946,287,911,859,650,560/9,103,894,278,556
  6. Step 6: Final answer
    x = 42,450,853,241,629.13

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1.5x scale

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.