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Finding the Third Proportional to 10,640,352 and 16,509,447

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Solution

The third proportional to 10,640,352 and 16,509,447 is: 25,615,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640,352 : 16,509,447 = 16,509,447 : x
  2. Step 2: Convert to fraction form
    10,640,352/16,509,447 = 16,509,447/x
  3. Step 3: Cross multiply
    10,640,352x = 16,509,447 × 16,509,447
  4. Step 4: Simplify right side
    10,640,352x = 272,561,840,245,809
  5. Step 5: Solve for x
    x = 272,561,840,245,809/10,640,352
  6. Step 6: Final answer
    x = 25,615,866.87

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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.