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Finding the Third Proportional to 10,834,014 and 15,852,213

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Solution

The third proportional to 10,834,014 and 15,852,213 is: 23,194,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834,014 : 15,852,213 = 15,852,213 : x
  2. Step 2: Convert to fraction form
    10,834,014/15,852,213 = 15,852,213/x
  3. Step 3: Cross multiply
    10,834,014x = 15,852,213 × 15,852,213
  4. Step 4: Simplify right side
    10,834,014x = 251,292,656,997,369
  5. Step 5: Solve for x
    x = 251,292,656,997,369/10,834,014
  6. Step 6: Final answer
    x = 23,194,787.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.