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Finding the Third Proportional to 2,173,635,802 and 4,774,288,592

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Solution

The third proportional to 2,173,635,802 and 4,774,288,592 is: 10,486,499,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,635,802 : 4,774,288,592 = 4,774,288,592 : x
  2. Step 2: Convert to fraction form
    2,173,635,802/4,774,288,592 = 4,774,288,592/x
  3. Step 3: Cross multiply
    2,173,635,802x = 4,774,288,592 × 4,774,288,592
  4. Step 4: Simplify right side
    2,173,635,802x = 22,793,831,559,701,344,256
  5. Step 5: Solve for x
    x = 22,793,831,559,701,344,256/2,173,635,802
  6. Step 6: Final answer
    x = 10,486,499,872.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.