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Finding the Third Proportional to 10,070,352 and 15,189,138

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Solution

The third proportional to 10,070,352 and 15,189,138 is: 22,909,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070,352 : 15,189,138 = 15,189,138 : x
  2. Step 2: Convert to fraction form
    10,070,352/15,189,138 = 15,189,138/x
  3. Step 3: Cross multiply
    10,070,352x = 15,189,138 × 15,189,138
  4. Step 4: Simplify right side
    10,070,352x = 230,709,913,183,044
  5. Step 5: Solve for x
    x = 230,709,913,183,044/10,070,352
  6. Step 6: Final answer
    x = 22,909,816.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.