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Finding the Third Proportional to 35,941,234.50 and 77,536,411.50

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Solution

The third proportional to 35,941,234.50 and 77,536,411.50 is: 167,270,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,941,234.50 : 77,536,411.50 = 77,536,411.50 : x
  2. Step 2: Convert to fraction form
    35,941,234.50/77,536,411.50 = 77,536,411.50/x
  3. Step 3: Cross multiply
    35,941,234.50x = 77,536,411.50 × 77,536,411.50
  4. Step 4: Simplify right side
    35,941,234.50x = 6,011,895,108,297,332
  5. Step 5: Solve for x
    x = 6,011,895,108,297,332/35,941,234.50
  6. Step 6: Final answer
    x = 167,270,133.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.