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Finding the Third Proportional to 6,580,023 and 10,228,864.50

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Solution

The third proportional to 6,580,023 and 10,228,864.50 is: 15,901,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580,023 : 10,228,864.50 = 10,228,864.50 : x
  2. Step 2: Convert to fraction form
    6,580,023/10,228,864.50 = 10,228,864.50/x
  3. Step 3: Cross multiply
    6,580,023x = 10,228,864.50 × 10,228,864.50
  4. Step 4: Simplify right side
    6,580,023x = 104,629,668,959,360.25
  5. Step 5: Solve for x
    x = 104,629,668,959,360.25/6,580,023
  6. Step 6: Final answer
    x = 15,901,109.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.