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Finding the Third Proportional to 10,105,585 and 15,533,173.50

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Solution

The third proportional to 10,105,585 and 15,533,173.50 is: 23,875,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105,585 : 15,533,173.50 = 15,533,173.50 : x
  2. Step 2: Convert to fraction form
    10,105,585/15,533,173.50 = 15,533,173.50/x
  3. Step 3: Cross multiply
    10,105,585x = 15,533,173.50 × 15,533,173.50
  4. Step 4: Simplify right side
    10,105,585x = 241,279,478,981,102.25
  5. Step 5: Solve for x
    x = 241,279,478,981,102.25/10,105,585
  6. Step 6: Final answer
    x = 23,875,854.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.