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Finding the Third Proportional to 9,843,860 and 15,406,946

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Solution

The third proportional to 9,843,860 and 15,406,946 is: 24,113,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,860 : 15,406,946 = 15,406,946 : x
  2. Step 2: Convert to fraction form
    9,843,860/15,406,946 = 15,406,946/x
  3. Step 3: Cross multiply
    9,843,860x = 15,406,946 × 15,406,946
  4. Step 4: Simplify right side
    9,843,860x = 237,373,985,046,916
  5. Step 5: Solve for x
    x = 237,373,985,046,916/9,843,860
  6. Step 6: Final answer
    x = 24,113,913.14

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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.