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Finding the Third Proportional to 7,824,764.11 and 16,726,374.98

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Solution

The third proportional to 7,824,764.11 and 16,726,374.98 is: 35,754,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824,764.11 : 16,726,374.98 = 16,726,374.98 : x
  2. Step 2: Convert to fraction form
    7,824,764.11/16,726,374.98 = 16,726,374.98/x
  3. Step 3: Cross multiply
    7,824,764.11x = 16,726,374.98 × 16,726,374.98
  4. Step 4: Simplify right side
    7,824,764.11x = 279,771,620,117,925.78
  5. Step 5: Solve for x
    x = 279,771,620,117,925.78/7,824,764.11
  6. Step 6: Final answer
    x = 35,754,639.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.