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Finding the Third Proportional to 30,319,730 and 46,650,651

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Solution

The third proportional to 30,319,730 and 46,650,651 is: 71,777,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319,730 : 46,650,651 = 46,650,651 : x
  2. Step 2: Convert to fraction form
    30,319,730/46,650,651 = 46,650,651/x
  3. Step 3: Cross multiply
    30,319,730x = 46,650,651 × 46,650,651
  4. Step 4: Simplify right side
    30,319,730x = 2,176,283,238,723,801
  5. Step 5: Solve for x
    x = 2,176,283,238,723,801/30,319,730
  6. Step 6: Final answer
    x = 71,777,790.86

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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.