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Finding the Third Proportional to 9,490,768 and 14,707,968

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Solution

The third proportional to 9,490,768 and 14,707,968 is: 22,793,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490,768 : 14,707,968 = 14,707,968 : x
  2. Step 2: Convert to fraction form
    9,490,768/14,707,968 = 14,707,968/x
  3. Step 3: Cross multiply
    9,490,768x = 14,707,968 × 14,707,968
  4. Step 4: Simplify right side
    9,490,768x = 216,324,322,689,024
  5. Step 5: Solve for x
    x = 216,324,322,689,024/9,490,768
  6. Step 6: Final answer
    x = 22,793,131.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.