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Finding the Third Proportional to 30,319,734 and 46,650,657

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Solution

The third proportional to 30,319,734 and 46,650,657 is: 71,777,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319,734 : 46,650,657 = 46,650,657 : x
  2. Step 2: Convert to fraction form
    30,319,734/46,650,657 = 46,650,657/x
  3. Step 3: Cross multiply
    30,319,734x = 46,650,657 × 46,650,657
  4. Step 4: Simplify right side
    30,319,734x = 2,176,283,798,531,649
  5. Step 5: Solve for x
    x = 2,176,283,798,531,649/30,319,734
  6. Step 6: Final answer
    x = 71,777,799.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.