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Finding the Third Proportional to 9,852,660 and 15,689,640

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Solution

The third proportional to 9,852,660 and 15,689,640 is: 24,984,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852,660 : 15,689,640 = 15,689,640 : x
  2. Step 2: Convert to fraction form
    9,852,660/15,689,640 = 15,689,640/x
  3. Step 3: Cross multiply
    9,852,660x = 15,689,640 × 15,689,640
  4. Step 4: Simplify right side
    9,852,660x = 246,164,803,329,600
  5. Step 5: Solve for x
    x = 246,164,803,329,600/9,852,660
  6. Step 6: Final answer
    x = 24,984,603.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.