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Finding the Third Proportional to 4,174,069,860 and 9,098,140,428

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Solution

The third proportional to 4,174,069,860 and 9,098,140,428 is: 19,831,043,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174,069,860 : 9,098,140,428 = 9,098,140,428 : x
  2. Step 2: Convert to fraction form
    4,174,069,860/9,098,140,428 = 9,098,140,428/x
  3. Step 3: Cross multiply
    4,174,069,860x = 9,098,140,428 × 9,098,140,428
  4. Step 4: Simplify right side
    4,174,069,860x = 82,776,159,247,608,020,992
  5. Step 5: Solve for x
    x = 82,776,159,247,608,020,992/4,174,069,860
  6. Step 6: Final answer
    x = 19,831,043,088.39

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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.