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Finding the Third Proportional to 3,909,852,745,484 and 8,417,252,700,857

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Solution

The third proportional to 3,909,852,745,484 and 8,417,252,700,857 is: 18,120,923,636,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909,852,745,484 : 8,417,252,700,857 = 8,417,252,700,857 : x
  2. Step 2: Convert to fraction form
    3,909,852,745,484/8,417,252,700,857 = 8,417,252,700,857/x
  3. Step 3: Cross multiply
    3,909,852,745,484x = 8,417,252,700,857 × 8,417,252,700,857
  4. Step 4: Simplify right side
    3,909,852,745,484x = 70,850,143,030,084,460,441,763,840
  5. Step 5: Solve for x
    x = 70,850,143,030,084,460,441,763,840/3,909,852,745,484
  6. Step 6: Final answer
    x = 18,120,923,636,297.70

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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.