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Finding the Third Proportional to 27,077,816.53 and 42,911,323.49

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Solution

The third proportional to 27,077,816.53 and 42,911,323.49 is: 68,003,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077,816.53 : 42,911,323.49 = 42,911,323.49 : x
  2. Step 2: Convert to fraction form
    27,077,816.53/42,911,323.49 = 42,911,323.49/x
  3. Step 3: Cross multiply
    27,077,816.53x = 42,911,323.49 × 42,911,323.49
  4. Step 4: Simplify right side
    27,077,816.53x = 1,841,381,683,515,982.75
  5. Step 5: Solve for x
    x = 1,841,381,683,515,982.75/27,077,816.53
  6. Step 6: Final answer
    x = 68,003,329.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.