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Finding the Third Proportional to 9,849,018 and 15,733,963

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Solution

The third proportional to 9,849,018 and 15,733,963 is: 25,135,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849,018 : 15,733,963 = 15,733,963 : x
  2. Step 2: Convert to fraction form
    9,849,018/15,733,963 = 15,733,963/x
  3. Step 3: Cross multiply
    9,849,018x = 15,733,963 × 15,733,963
  4. Step 4: Simplify right side
    9,849,018x = 247,557,591,685,369
  5. Step 5: Solve for x
    x = 247,557,591,685,369/9,849,018
  6. Step 6: Final answer
    x = 25,135,256.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.