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Finding the Third Proportional to 10,100,020 and 15,671,077

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Solution

The third proportional to 10,100,020 and 15,671,077 is: 24,315,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100,020 : 15,671,077 = 15,671,077 : x
  2. Step 2: Convert to fraction form
    10,100,020/15,671,077 = 15,671,077/x
  3. Step 3: Cross multiply
    10,100,020x = 15,671,077 × 15,671,077
  4. Step 4: Simplify right side
    10,100,020x = 245,582,654,339,929
  5. Step 5: Solve for x
    x = 245,582,654,339,929/10,100,020
  6. Step 6: Final answer
    x = 24,315,066.14

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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.