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Finding the Third Proportional to 2,173,006,300 and 4,707,012,800

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Solution

The third proportional to 2,173,006,300 and 4,707,012,800 is: 10,195,998,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,006,300 : 4,707,012,800 = 4,707,012,800 : x
  2. Step 2: Convert to fraction form
    2,173,006,300/4,707,012,800 = 4,707,012,800/x
  3. Step 3: Cross multiply
    2,173,006,300x = 4,707,012,800 × 4,707,012,800
  4. Step 4: Simplify right side
    2,173,006,300x = 22,155,969,499,363,840,000
  5. Step 5: Solve for x
    x = 22,155,969,499,363,840,000/2,173,006,300
  6. Step 6: Final answer
    x = 10,195,998,741.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.