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Finding the Third Proportional to 100,953,006,017.50 and 218,024,763,651

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Solution

The third proportional to 100,953,006,017.50 and 218,024,763,651 is: 470,860,645,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,953,006,017.50 : 218,024,763,651 = 218,024,763,651 : x
  2. Step 2: Convert to fraction form
    100,953,006,017.50/218,024,763,651 = 218,024,763,651/x
  3. Step 3: Cross multiply
    100,953,006,017.50x = 218,024,763,651 × 218,024,763,651
  4. Step 4: Simplify right side
    100,953,006,017.50x = 47,534,797,565,074,411,094,016
  5. Step 5: Solve for x
    x = 47,534,797,565,074,411,094,016/100,953,006,017.50
  6. Step 6: Final answer
    x = 470,860,645,366.36

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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.