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Finding the Third Proportional to 35,867,569.50 and 74,287,162.13

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Solution

The third proportional to 35,867,569.50 and 74,287,162.13 is: 153,859,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,867,569.50 : 74,287,162.13 = 74,287,162.13 : x
  2. Step 2: Convert to fraction form
    35,867,569.50/74,287,162.13 = 74,287,162.13/x
  3. Step 3: Cross multiply
    35,867,569.50x = 74,287,162.13 × 74,287,162.13
  4. Step 4: Simplify right side
    35,867,569.50x = 5,518,582,456,586,035
  5. Step 5: Solve for x
    x = 5,518,582,456,586,035/35,867,569.50
  6. Step 6: Final answer
    x = 153,859,950.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.