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Finding the Third Proportional to 10,357,830 and 15,680,697

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Solution

The third proportional to 10,357,830 and 15,680,697 is: 23,738,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357,830 : 15,680,697 = 15,680,697 : x
  2. Step 2: Convert to fraction form
    10,357,830/15,680,697 = 15,680,697/x
  3. Step 3: Cross multiply
    10,357,830x = 15,680,697 × 15,680,697
  4. Step 4: Simplify right side
    10,357,830x = 245,884,258,405,809
  5. Step 5: Solve for x
    x = 245,884,258,405,809/10,357,830
  6. Step 6: Final answer
    x = 23,738,974.13

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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.