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Finding the Third Proportional to 6,915,111.75 and 10,148,464.69

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Solution

The third proportional to 6,915,111.75 and 10,148,464.69 is: 14,893,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915,111.75 : 10,148,464.69 = 10,148,464.69 : x
  2. Step 2: Convert to fraction form
    6,915,111.75/10,148,464.69 = 10,148,464.69/x
  3. Step 3: Cross multiply
    6,915,111.75x = 10,148,464.69 × 10,148,464.69
  4. Step 4: Simplify right side
    6,915,111.75x = 102,991,335,513,434.47
  5. Step 5: Solve for x
    x = 102,991,335,513,434.47/6,915,111.75
  6. Step 6: Final answer
    x = 14,893,661.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.