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Finding the Third Proportional to 30,911,868 and 45,422,613

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Solution

The third proportional to 30,911,868 and 45,422,613 is: 66,745,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911,868 : 45,422,613 = 45,422,613 : x
  2. Step 2: Convert to fraction form
    30,911,868/45,422,613 = 45,422,613/x
  3. Step 3: Cross multiply
    30,911,868x = 45,422,613 × 45,422,613
  4. Step 4: Simplify right side
    30,911,868x = 2,063,213,771,747,769
  5. Step 5: Solve for x
    x = 2,063,213,771,747,769/30,911,868
  6. Step 6: Final answer
    x = 66,745,036.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.