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Finding the Third Proportional to 21,635,820,921 and 46,996,125,534

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Solution

The third proportional to 21,635,820,921 and 46,996,125,534 is: 102,082,367,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,635,820,921 : 46,996,125,534 = 46,996,125,534 : x
  2. Step 2: Convert to fraction form
    21,635,820,921/46,996,125,534 = 46,996,125,534/x
  3. Step 3: Cross multiply
    21,635,820,921x = 46,996,125,534 × 46,996,125,534
  4. Step 4: Simplify right side
    21,635,820,921x = 2,208,635,815,207,486,881,792
  5. Step 5: Solve for x
    x = 2,208,635,815,207,486,881,792/21,635,820,921
  6. Step 6: Final answer
    x = 102,082,367,166.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.