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Finding the Third Proportional to 30,083,706 and 45,830,583

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Solution

The third proportional to 30,083,706 and 45,830,583 is: 69,819,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083,706 : 45,830,583 = 45,830,583 : x
  2. Step 2: Convert to fraction form
    30,083,706/45,830,583 = 45,830,583/x
  3. Step 3: Cross multiply
    30,083,706x = 45,830,583 × 45,830,583
  4. Step 4: Simplify right side
    30,083,706x = 2,100,442,338,119,889
  5. Step 5: Solve for x
    x = 2,100,442,338,119,889/30,083,706
  6. Step 6: Final answer
    x = 69,819,933.03

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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.