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Finding the Third Proportional to 30,774,234.66 and 66,655,296.56

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Solution

The third proportional to 30,774,234.66 and 66,655,296.56 is: 144,371,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774,234.66 : 66,655,296.56 = 66,655,296.56 : x
  2. Step 2: Convert to fraction form
    30,774,234.66/66,655,296.56 = 66,655,296.56/x
  3. Step 3: Cross multiply
    30,774,234.66x = 66,655,296.56 × 66,655,296.56
  4. Step 4: Simplify right side
    30,774,234.66x = 4,442,928,559,834,824.50
  5. Step 5: Solve for x
    x = 4,442,928,559,834,824.50/30,774,234.66
  6. Step 6: Final answer
    x = 144,371,699.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.