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Finding the Third Proportional to 3,921,952,828.50 and 8,403,423,719.25

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Solution

The third proportional to 3,921,952,828.50 and 8,403,423,719.25 is: 18,005,706,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921,952,828.50 : 8,403,423,719.25 = 8,403,423,719.25 : x
  2. Step 2: Convert to fraction form
    3,921,952,828.50/8,403,423,719.25 = 8,403,423,719.25/x
  3. Step 3: Cross multiply
    3,921,952,828.50x = 8,403,423,719.25 × 8,403,423,719.25
  4. Step 4: Simplify right side
    3,921,952,828.50x = 70,617,530,205,253,500,928
  5. Step 5: Solve for x
    x = 70,617,530,205,253,500,928/3,921,952,828.50
  6. Step 6: Final answer
    x = 18,005,706,160.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.