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Finding the Third Proportional to 2,232,433.13 and 4,733,117.72

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Solution

The third proportional to 2,232,433.13 and 4,733,117.72 is: 10,034,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232,433.13 : 4,733,117.72 = 4,733,117.72 : x
  2. Step 2: Convert to fraction form
    2,232,433.13/4,733,117.72 = 4,733,117.72/x
  3. Step 3: Cross multiply
    2,232,433.13x = 4,733,117.72 × 4,733,117.72
  4. Step 4: Simplify right side
    2,232,433.13x = 22,402,403,339,545.20
  5. Step 5: Solve for x
    x = 22,402,403,339,545.20/2,232,433.13
  6. Step 6: Final answer
    x = 10,034,971.75

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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.