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Finding the Third Proportional to 2,539,031,966 and 3,921,744,154

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Solution

The third proportional to 2,539,031,966 and 3,921,744,154 is: 6,057,457,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539,031,966 : 3,921,744,154 = 3,921,744,154 : x
  2. Step 2: Convert to fraction form
    2,539,031,966/3,921,744,154 = 3,921,744,154/x
  3. Step 3: Cross multiply
    2,539,031,966x = 3,921,744,154 × 3,921,744,154
  4. Step 4: Simplify right side
    2,539,031,966x = 15,380,077,209,433,176,064
  5. Step 5: Solve for x
    x = 15,380,077,209,433,176,064/2,539,031,966
  6. Step 6: Final answer
    x = 6,057,457,099.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.