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Finding the Third Proportional to 30,319,778 and 46,650,724

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Solution

The third proportional to 30,319,778 and 46,650,724 is: 71,777,901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319,778 : 46,650,724 = 46,650,724 : x
  2. Step 2: Convert to fraction form
    30,319,778/46,650,724 = 46,650,724/x
  3. Step 3: Cross multiply
    30,319,778x = 46,650,724 × 46,650,724
  4. Step 4: Simplify right side
    30,319,778x = 2,176,290,049,724,176
  5. Step 5: Solve for x
    x = 2,176,290,049,724,176/30,319,778
  6. Step 6: Final answer
    x = 71,777,901.86

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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.