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Finding the Third Proportional to 9,698,688 and 15,215,040

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Solution

The third proportional to 9,698,688 and 15,215,040 is: 23,868,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698,688 : 15,215,040 = 15,215,040 : x
  2. Step 2: Convert to fraction form
    9,698,688/15,215,040 = 15,215,040/x
  3. Step 3: Cross multiply
    9,698,688x = 15,215,040 × 15,215,040
  4. Step 4: Simplify right side
    9,698,688x = 231,497,442,201,600
  5. Step 5: Solve for x
    x = 231,497,442,201,600/9,698,688
  6. Step 6: Final answer
    x = 23,868,944.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.