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Finding the Third Proportional to 3,867,547.50 and 8,196,116.63

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Solution

The third proportional to 3,867,547.50 and 8,196,116.63 is: 17,369,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867,547.50 : 8,196,116.63 = 8,196,116.63 : x
  2. Step 2: Convert to fraction form
    3,867,547.50/8,196,116.63 = 8,196,116.63/x
  3. Step 3: Cross multiply
    3,867,547.50x = 8,196,116.63 × 8,196,116.63
  4. Step 4: Simplify right side
    3,867,547.50x = 67,176,327,730,601.39
  5. Step 5: Solve for x
    x = 67,176,327,730,601.39/3,867,547.50
  6. Step 6: Final answer
    x = 17,369,231.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.