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Finding the Third Proportional to 27,381,705.75 and 42,341,113.13

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Solution

The third proportional to 27,381,705.75 and 42,341,113.13 is: 65,473,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381,705.75 : 42,341,113.13 = 42,341,113.13 : x
  2. Step 2: Convert to fraction form
    27,381,705.75/42,341,113.13 = 42,341,113.13/x
  3. Step 3: Cross multiply
    27,381,705.75x = 42,341,113.13 × 42,341,113.13
  4. Step 4: Simplify right side
    27,381,705.75x = 1,792,769,860,664,047.25
  5. Step 5: Solve for x
    x = 1,792,769,860,664,047.25/27,381,705.75
  6. Step 6: Final answer
    x = 65,473,271.72

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