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Finding the Third Proportional to 6,468,084 and 9,701,313

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Solution

The third proportional to 6,468,084 and 9,701,313 is: 14,550,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468,084 : 9,701,313 = 9,701,313 : x
  2. Step 2: Convert to fraction form
    6,468,084/9,701,313 = 9,701,313/x
  3. Step 3: Cross multiply
    6,468,084x = 9,701,313 × 9,701,313
  4. Step 4: Simplify right side
    6,468,084x = 94,115,473,923,969
  5. Step 5: Solve for x
    x = 94,115,473,923,969/6,468,084
  6. Step 6: Final answer
    x = 14,550,750.10

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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.