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Finding the Third Proportional to 7,413,948 and 11,094,070

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Solution

The third proportional to 7,413,948 and 11,094,070 is: 16,600,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413,948 : 11,094,070 = 11,094,070 : x
  2. Step 2: Convert to fraction form
    7,413,948/11,094,070 = 11,094,070/x
  3. Step 3: Cross multiply
    7,413,948x = 11,094,070 × 11,094,070
  4. Step 4: Simplify right side
    7,413,948x = 123,078,389,164,900
  5. Step 5: Solve for x
    x = 123,078,389,164,900/7,413,948
  6. Step 6: Final answer
    x = 16,600,924.25

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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.