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Finding the Third Proportional to 100,953,006,020 and 218,024,763,655

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Solution

The third proportional to 100,953,006,020 and 218,024,763,655 is: 470,860,645,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,953,006,020 : 218,024,763,655 = 218,024,763,655 : x
  2. Step 2: Convert to fraction form
    100,953,006,020/218,024,763,655 = 218,024,763,655/x
  3. Step 3: Cross multiply
    100,953,006,020x = 218,024,763,655 × 218,024,763,655
  4. Step 4: Simplify right side
    100,953,006,020x = 47,534,797,566,818,612,412,416
  5. Step 5: Solve for x
    x = 47,534,797,566,818,612,412,416/100,953,006,020
  6. Step 6: Final answer
    x = 470,860,645,371.98

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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.