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Finding the Third Proportional to 30,083,708 and 45,830,586

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Solution

The third proportional to 30,083,708 and 45,830,586 is: 69,819,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083,708 : 45,830,586 = 45,830,586 : x
  2. Step 2: Convert to fraction form
    30,083,708/45,830,586 = 45,830,586/x
  3. Step 3: Cross multiply
    30,083,708x = 45,830,586 × 45,830,586
  4. Step 4: Simplify right side
    30,083,708x = 2,100,442,613,103,396
  5. Step 5: Solve for x
    x = 2,100,442,613,103,396/30,083,708
  6. Step 6: Final answer
    x = 69,819,937.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.