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Finding the Third Proportional to 5,148,004.50 and 7,712,070.75

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Solution

The third proportional to 5,148,004.50 and 7,712,070.75 is: 11,553,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148,004.50 : 7,712,070.75 = 7,712,070.75 : x
  2. Step 2: Convert to fraction form
    5,148,004.50/7,712,070.75 = 7,712,070.75/x
  3. Step 3: Cross multiply
    5,148,004.50x = 7,712,070.75 × 7,712,070.75
  4. Step 4: Simplify right side
    5,148,004.50x = 59,476,035,253,005.56
  5. Step 5: Solve for x
    x = 59,476,035,253,005.56/5,148,004.50
  6. Step 6: Final answer
    x = 11,553,221.30

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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.