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Finding the Third Proportional to 2,300,032,650 and 4,923,165,227.50

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Solution

The third proportional to 2,300,032,650 and 4,923,165,227.50 is: 10,537,918,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300,032,650 : 4,923,165,227.50 = 4,923,165,227.50 : x
  2. Step 2: Convert to fraction form
    2,300,032,650/4,923,165,227.50 = 4,923,165,227.50/x
  3. Step 3: Cross multiply
    2,300,032,650x = 4,923,165,227.50 × 4,923,165,227.50
  4. Step 4: Simplify right side
    2,300,032,650x = 24,237,555,857,265,127,424
  5. Step 5: Solve for x
    x = 24,237,555,857,265,127,424/2,300,032,650
  6. Step 6: Final answer
    x = 10,537,918,171.41

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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.