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Finding the Third Proportional to 31,513,216.50 and 68,547,879

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Solution

The third proportional to 31,513,216.50 and 68,547,879 is: 149,106,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,513,216.50 : 68,547,879 = 68,547,879 : x
  2. Step 2: Convert to fraction form
    31,513,216.50/68,547,879 = 68,547,879/x
  3. Step 3: Cross multiply
    31,513,216.50x = 68,547,879 × 68,547,879
  4. Step 4: Simplify right side
    31,513,216.50x = 4,698,811,715,398,641
  5. Step 5: Solve for x
    x = 4,698,811,715,398,641/31,513,216.50
  6. Step 6: Final answer
    x = 149,106,065.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.