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Finding the Third Proportional to 4,177,693,872 and 6,249,998,154

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Solution

The third proportional to 4,177,693,872 and 6,249,998,154 is: 9,350,248,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177,693,872 : 6,249,998,154 = 6,249,998,154 : x
  2. Step 2: Convert to fraction form
    4,177,693,872/6,249,998,154 = 6,249,998,154/x
  3. Step 3: Cross multiply
    4,177,693,872x = 6,249,998,154 × 6,249,998,154
  4. Step 4: Simplify right side
    4,177,693,872x = 39,062,476,925,003,407,360
  5. Step 5: Solve for x
    x = 39,062,476,925,003,407,360/4,177,693,872
  6. Step 6: Final answer
    x = 9,350,248,754.90

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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.