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Finding the Third Proportional to 10,834,012 and 15,852,210

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Solution

The third proportional to 10,834,012 and 15,852,210 is: 23,194,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834,012 : 15,852,210 = 15,852,210 : x
  2. Step 2: Convert to fraction form
    10,834,012/15,852,210 = 15,852,210/x
  3. Step 3: Cross multiply
    10,834,012x = 15,852,210 × 15,852,210
  4. Step 4: Simplify right side
    10,834,012x = 251,292,561,884,100
  5. Step 5: Solve for x
    x = 251,292,561,884,100/10,834,012
  6. Step 6: Final answer
    x = 23,194,783.42

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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.