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Finding the Third Proportional to 4,597,989 and 10,838,743

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Solution

The third proportional to 4,597,989 and 10,838,743 is: 25,549,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597,989 : 10,838,743 = 10,838,743 : x
  2. Step 2: Convert to fraction form
    4,597,989/10,838,743 = 10,838,743/x
  3. Step 3: Cross multiply
    4,597,989x = 10,838,743 × 10,838,743
  4. Step 4: Simplify right side
    4,597,989x = 117,478,349,820,049
  5. Step 5: Solve for x
    x = 117,478,349,820,049/4,597,989
  6. Step 6: Final answer
    x = 25,549,941.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.