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Finding the Third Proportional to 9,348,453 and 14,360,363.44

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Solution

The third proportional to 9,348,453 and 14,360,363.44 is: 22,059,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348,453 : 14,360,363.44 = 14,360,363.44 : x
  2. Step 2: Convert to fraction form
    9,348,453/14,360,363.44 = 14,360,363.44/x
  3. Step 3: Cross multiply
    9,348,453x = 14,360,363.44 × 14,360,363.44
  4. Step 4: Simplify right side
    9,348,453x = 206,220,038,057,086.81
  5. Step 5: Solve for x
    x = 206,220,038,057,086.81/9,348,453
  6. Step 6: Final answer
    x = 22,059,268.85

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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.