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Finding the Third Proportional to 30,774,324 and 66,655,464

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Solution

The third proportional to 30,774,324 and 66,655,464 is: 144,372,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774,324 : 66,655,464 = 66,655,464 : x
  2. Step 2: Convert to fraction form
    30,774,324/66,655,464 = 66,655,464/x
  3. Step 3: Cross multiply
    30,774,324x = 66,655,464 × 66,655,464
  4. Step 4: Simplify right side
    30,774,324x = 4,442,950,881,055,296
  5. Step 5: Solve for x
    x = 4,442,950,881,055,296/30,774,324
  6. Step 6: Final answer
    x = 144,372,005.74

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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.