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Finding the Third Proportional to 9,348,714 and 13,985,810

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Solution

The third proportional to 9,348,714 and 13,985,810 is: 20,922,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348,714 : 13,985,810 = 13,985,810 : x
  2. Step 2: Convert to fraction form
    9,348,714/13,985,810 = 13,985,810/x
  3. Step 3: Cross multiply
    9,348,714x = 13,985,810 × 13,985,810
  4. Step 4: Simplify right side
    9,348,714x = 195,602,881,356,100
  5. Step 5: Solve for x
    x = 195,602,881,356,100/9,348,714
  6. Step 6: Final answer
    x = 20,922,972.01

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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.