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Finding the Third Proportional to 9,829,922 and 15,386,402

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Solution

The third proportional to 9,829,922 and 15,386,402 is: 24,083,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,922 : 15,386,402 = 15,386,402 : x
  2. Step 2: Convert to fraction form
    9,829,922/15,386,402 = 15,386,402/x
  3. Step 3: Cross multiply
    9,829,922x = 15,386,402 × 15,386,402
  4. Step 4: Simplify right side
    9,829,922x = 236,741,366,505,604
  5. Step 5: Solve for x
    x = 236,741,366,505,604/9,829,922
  6. Step 6: Final answer
    x = 24,083,748.22

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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.