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Finding the Third Proportional to 30,774,237 and 66,655,286.25

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Solution

The third proportional to 30,774,237 and 66,655,286.25 is: 144,371,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774,237 : 66,655,286.25 = 66,655,286.25 : x
  2. Step 2: Convert to fraction form
    30,774,237/66,655,286.25 = 66,655,286.25/x
  3. Step 3: Cross multiply
    30,774,237x = 66,655,286.25 × 66,655,286.25
  4. Step 4: Simplify right side
    30,774,237x = 4,442,927,185,069,439
  5. Step 5: Solve for x
    x = 4,442,927,185,069,439/30,774,237
  6. Step 6: Final answer
    x = 144,371,643.89

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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.