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Finding the Third Proportional to 2,385,925,618.71 and 5,062,684,864.78

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Solution

The third proportional to 2,385,925,618.71 and 5,062,684,864.78 is: 10,742,488,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385,925,618.71 : 5,062,684,864.78 = 5,062,684,864.78 : x
  2. Step 2: Convert to fraction form
    2,385,925,618.71/5,062,684,864.78 = 5,062,684,864.78/x
  3. Step 3: Cross multiply
    2,385,925,618.71x = 5,062,684,864.78 × 5,062,684,864.78
  4. Step 4: Simplify right side
    2,385,925,618.71x = 25,630,778,040,084,639,744
  5. Step 5: Solve for x
    x = 25,630,778,040,084,639,744/2,385,925,618.71
  6. Step 6: Final answer
    x = 10,742,488,298.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.