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Finding the Third Proportional to 35,780,011.50 and 78,589,108.50

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Solution

The third proportional to 35,780,011.50 and 78,589,108.50 is: 172,617,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780,011.50 : 78,589,108.50 = 78,589,108.50 : x
  2. Step 2: Convert to fraction form
    35,780,011.50/78,589,108.50 = 78,589,108.50/x
  3. Step 3: Cross multiply
    35,780,011.50x = 78,589,108.50 × 78,589,108.50
  4. Step 4: Simplify right side
    35,780,011.50x = 6,176,247,974,824,772
  5. Step 5: Solve for x
    x = 6,176,247,974,824,772/35,780,011.50
  6. Step 6: Final answer
    x = 172,617,271.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.