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Finding the Third Proportional to 10,117,246 and 15,427,648

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Solution

The third proportional to 10,117,246 and 15,427,648 is: 23,525,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117,246 : 15,427,648 = 15,427,648 : x
  2. Step 2: Convert to fraction form
    10,117,246/15,427,648 = 15,427,648/x
  3. Step 3: Cross multiply
    10,117,246x = 15,427,648 × 15,427,648
  4. Step 4: Simplify right side
    10,117,246x = 238,012,322,811,904
  5. Step 5: Solve for x
    x = 238,012,322,811,904/10,117,246
  6. Step 6: Final answer
    x = 23,525,406.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.