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Finding the Third Proportional to 4,547,089.41 and 6,867,840.66

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Solution

The third proportional to 4,547,089.41 and 6,867,840.66 is: 10,373,060.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547,089.41 : 6,867,840.66 = 6,867,840.66 : x
  2. Step 2: Convert to fraction form
    4,547,089.41/6,867,840.66 = 6,867,840.66/x
  3. Step 3: Cross multiply
    4,547,089.41x = 6,867,840.66 × 6,867,840.66
  4. Step 4: Simplify right side
    4,547,089.41x = 47,167,235,279,640.43
  5. Step 5: Solve for x
    x = 47,167,235,279,640.43/4,547,089.41
  6. Step 6: Final answer
    x = 10,373,060.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.