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Finding the Third Proportional to 9,348,348 and 13,985,160

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Solution

The third proportional to 9,348,348 and 13,985,160 is: 20,921,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348,348 : 13,985,160 = 13,985,160 : x
  2. Step 2: Convert to fraction form
    9,348,348/13,985,160 = 13,985,160/x
  3. Step 3: Cross multiply
    9,348,348x = 13,985,160 × 13,985,160
  4. Step 4: Simplify right side
    9,348,348x = 195,584,700,225,600
  5. Step 5: Solve for x
    x = 195,584,700,225,600/9,348,348
  6. Step 6: Final answer
    x = 20,921,846.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.