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Finding the Third Proportional to 9,348,508 and 14,360,454

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Solution

The third proportional to 9,348,508 and 14,360,454 is: 22,059,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348,508 : 14,360,454 = 14,360,454 : x
  2. Step 2: Convert to fraction form
    9,348,508/14,360,454 = 14,360,454/x
  3. Step 3: Cross multiply
    9,348,508x = 14,360,454 × 14,360,454
  4. Step 4: Simplify right side
    9,348,508x = 206,222,639,086,116
  5. Step 5: Solve for x
    x = 206,222,639,086,116/9,348,508
  6. Step 6: Final answer
    x = 22,059,417.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.