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Finding the Third Proportional to 3,909,852,745,482 and 8,417,252,700,853

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Solution

The third proportional to 3,909,852,745,482 and 8,417,252,700,853 is: 18,120,923,636,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909,852,745,482 : 8,417,252,700,853 = 8,417,252,700,853 : x
  2. Step 2: Convert to fraction form
    3,909,852,745,482/8,417,252,700,853 = 8,417,252,700,853/x
  3. Step 3: Cross multiply
    3,909,852,745,482x = 8,417,252,700,853 × 8,417,252,700,853
  4. Step 4: Simplify right side
    3,909,852,745,482x = 70,850,143,030,017,123,944,497,152
  5. Step 5: Solve for x
    x = 70,850,143,030,017,123,944,497,152/3,909,852,745,482
  6. Step 6: Final answer
    x = 18,120,923,636,289.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.