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Finding the Third Proportional to 6,780,547.69 and 10,233,876.80

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Solution

The third proportional to 6,780,547.69 and 10,233,876.80 is: 15,445,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780,547.69 : 10,233,876.80 = 10,233,876.80 : x
  2. Step 2: Convert to fraction form
    6,780,547.69/10,233,876.80 = 10,233,876.80/x
  3. Step 3: Cross multiply
    6,780,547.69x = 10,233,876.80 × 10,233,876.80
  4. Step 4: Simplify right side
    6,780,547.69x = 104,732,234,293,616.52
  5. Step 5: Solve for x
    x = 104,732,234,293,616.52/6,780,547.69
  6. Step 6: Final answer
    x = 15,445,984.47

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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.