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Finding the Third Proportional to 4,174,069,862 and 9,098,140,432

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Solution

The third proportional to 4,174,069,862 and 9,098,140,432 is: 19,831,043,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174,069,862 : 9,098,140,432 = 9,098,140,432 : x
  2. Step 2: Convert to fraction form
    4,174,069,862/9,098,140,432 = 9,098,140,432/x
  3. Step 3: Cross multiply
    4,174,069,862x = 9,098,140,432 × 9,098,140,432
  4. Step 4: Simplify right side
    4,174,069,862x = 82,776,159,320,393,154,560
  5. Step 5: Solve for x
    x = 82,776,159,320,393,154,560/4,174,069,862
  6. Step 6: Final answer
    x = 19,831,043,096.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.