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Finding the Third Proportional to 3,007,841.34 and 6,495,078.66

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Solution

The third proportional to 3,007,841.34 and 6,495,078.66 is: 14,025,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007,841.34 : 6,495,078.66 = 6,495,078.66 : x
  2. Step 2: Convert to fraction form
    3,007,841.34/6,495,078.66 = 6,495,078.66/x
  3. Step 3: Cross multiply
    3,007,841.34x = 6,495,078.66 × 6,495,078.66
  4. Step 4: Simplify right side
    3,007,841.34x = 42,186,046,750,874.30
  5. Step 5: Solve for x
    x = 42,186,046,750,874.30/3,007,841.34
  6. Step 6: Final answer
    x = 14,025,356.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.