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Finding the Third Proportional to 2,516,489,550 and 3,774,734,649

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Solution

The third proportional to 2,516,489,550 and 3,774,734,649 is: 5,662,102,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516,489,550 : 3,774,734,649 = 3,774,734,649 : x
  2. Step 2: Convert to fraction form
    2,516,489,550/3,774,734,649 = 3,774,734,649/x
  3. Step 3: Cross multiply
    2,516,489,550x = 3,774,734,649 × 3,774,734,649
  4. Step 4: Simplify right side
    2,516,489,550x = 14,248,621,670,361,153,536
  5. Step 5: Solve for x
    x = 14,248,621,670,361,153,536/2,516,489,550
  6. Step 6: Final answer
    x = 5,662,102,459.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.