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Finding the Third Proportional to 10,105,646 and 15,533,254

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Solution

The third proportional to 10,105,646 and 15,533,254 is: 23,875,958.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105,646 : 15,533,254 = 15,533,254 : x
  2. Step 2: Convert to fraction form
    10,105,646/15,533,254 = 15,533,254/x
  3. Step 3: Cross multiply
    10,105,646x = 15,533,254 × 15,533,254
  4. Step 4: Simplify right side
    10,105,646x = 241,281,979,828,516
  5. Step 5: Solve for x
    x = 241,281,979,828,516/10,105,646
  6. Step 6: Final answer
    x = 23,875,958.04

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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.