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Finding the Third Proportional to 9,260,856 and 10,368,024

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Solution

The third proportional to 9,260,856 and 10,368,024 is: 11,607,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260,856 : 10,368,024 = 10,368,024 : x
  2. Step 2: Convert to fraction form
    9,260,856/10,368,024 = 10,368,024/x
  3. Step 3: Cross multiply
    9,260,856x = 10,368,024 × 10,368,024
  4. Step 4: Simplify right side
    9,260,856x = 107,495,921,664,576
  5. Step 5: Solve for x
    x = 107,495,921,664,576/9,260,856
  6. Step 6: Final answer
    x = 11,607,557.84

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.