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Finding the Third Proportional to 9,738,012 and 15,196,586

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Solution

The third proportional to 9,738,012 and 15,196,586 is: 23,714,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738,012 : 15,196,586 = 15,196,586 : x
  2. Step 2: Convert to fraction form
    9,738,012/15,196,586 = 15,196,586/x
  3. Step 3: Cross multiply
    9,738,012x = 15,196,586 × 15,196,586
  4. Step 4: Simplify right side
    9,738,012x = 230,936,226,055,396
  5. Step 5: Solve for x
    x = 230,936,226,055,396/9,738,012
  6. Step 6: Final answer
    x = 23,714,925.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.