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Finding the Third Proportional to 6,853,377 and 9,097,239

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Solution

The third proportional to 6,853,377 and 9,097,239 is: 12,075,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853,377 : 9,097,239 = 9,097,239 : x
  2. Step 2: Convert to fraction form
    6,853,377/9,097,239 = 9,097,239/x
  3. Step 3: Cross multiply
    6,853,377x = 9,097,239 × 9,097,239
  4. Step 4: Simplify right side
    6,853,377x = 82,759,757,423,121
  5. Step 5: Solve for x
    x = 82,759,757,423,121/6,853,377
  6. Step 6: Final answer
    x = 12,075,763.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.