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Finding the Third Proportional to 9,646,348 and 14,929,684

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Solution

The third proportional to 9,646,348 and 14,929,684 is: 23,106,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,348 : 14,929,684 = 14,929,684 : x
  2. Step 2: Convert to fraction form
    9,646,348/14,929,684 = 14,929,684/x
  3. Step 3: Cross multiply
    9,646,348x = 14,929,684 × 14,929,684
  4. Step 4: Simplify right side
    9,646,348x = 222,895,464,339,856
  5. Step 5: Solve for x
    x = 222,895,464,339,856/9,646,348
  6. Step 6: Final answer
    x = 23,106,720.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.