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Finding the Third Proportional to 41,988,337.50 and 65,168,413.50

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Solution

The third proportional to 41,988,337.50 and 65,168,413.50 is: 101,145,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,988,337.50 : 65,168,413.50 = 65,168,413.50 : x
  2. Step 2: Convert to fraction form
    41,988,337.50/65,168,413.50 = 65,168,413.50/x
  3. Step 3: Cross multiply
    41,988,337.50x = 65,168,413.50 × 65,168,413.50
  4. Step 4: Simplify right side
    41,988,337.50x = 4,246,922,118,106,982
  5. Step 5: Solve for x
    x = 4,246,922,118,106,982/41,988,337.50
  6. Step 6: Final answer
    x = 101,145,279.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.