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Finding the Third Proportional to 30,083,709 and 45,830,587.50

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Solution

The third proportional to 30,083,709 and 45,830,587.50 is: 69,819,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083,709 : 45,830,587.50 = 45,830,587.50 : x
  2. Step 2: Convert to fraction form
    30,083,709/45,830,587.50 = 45,830,587.50/x
  3. Step 3: Cross multiply
    30,083,709x = 45,830,587.50 × 45,830,587.50
  4. Step 4: Simplify right side
    30,083,709x = 2,100,442,750,595,156.25
  5. Step 5: Solve for x
    x = 2,100,442,750,595,156.25/30,083,709
  6. Step 6: Final answer
    x = 69,819,939.78

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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.