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Finding the Third Proportional to 9,348,509 and 14,360,456

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Solution

The third proportional to 9,348,509 and 14,360,456 is: 22,059,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348,509 : 14,360,456 = 14,360,456 : x
  2. Step 2: Convert to fraction form
    9,348,509/14,360,456 = 14,360,456/x
  3. Step 3: Cross multiply
    9,348,509x = 14,360,456 × 14,360,456
  4. Step 4: Simplify right side
    9,348,509x = 206,222,696,527,936
  5. Step 5: Solve for x
    x = 206,222,696,527,936/9,348,509
  6. Step 6: Final answer
    x = 22,059,421.08

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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.