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Finding the Third Proportional to 9,277,386 and 14,913,348

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Solution

The third proportional to 9,277,386 and 14,913,348 is: 23,973,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277,386 : 14,913,348 = 14,913,348 : x
  2. Step 2: Convert to fraction form
    9,277,386/14,913,348 = 14,913,348/x
  3. Step 3: Cross multiply
    9,277,386x = 14,913,348 × 14,913,348
  4. Step 4: Simplify right side
    9,277,386x = 222,407,948,569,104
  5. Step 5: Solve for x
    x = 222,407,948,569,104/9,277,386
  6. Step 6: Final answer
    x = 23,973,126.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.