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Finding the Third Proportional to 30,774,336 and 66,655,488

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Solution

The third proportional to 30,774,336 and 66,655,488 is: 144,372,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774,336 : 66,655,488 = 66,655,488 : x
  2. Step 2: Convert to fraction form
    30,774,336/66,655,488 = 66,655,488/x
  3. Step 3: Cross multiply
    30,774,336x = 66,655,488 × 66,655,488
  4. Step 4: Simplify right side
    30,774,336x = 4,442,954,080,518,144
  5. Step 5: Solve for x
    x = 4,442,954,080,518,144/30,774,336
  6. Step 6: Final answer
    x = 144,372,053.41

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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.