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Finding the Third Proportional to 9,829,926 and 15,386,409

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Solution

The third proportional to 9,829,926 and 15,386,409 is: 24,083,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,926 : 15,386,409 = 15,386,409 : x
  2. Step 2: Convert to fraction form
    9,829,926/15,386,409 = 15,386,409/x
  3. Step 3: Cross multiply
    9,829,926x = 15,386,409 × 15,386,409
  4. Step 4: Simplify right side
    9,829,926x = 236,741,581,915,281
  5. Step 5: Solve for x
    x = 236,741,581,915,281/9,829,926
  6. Step 6: Final answer
    x = 24,083,760.34

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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.