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Finding the Third Proportional to 30,851,572 and 45,141,682.50

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Solution

The third proportional to 30,851,572 and 45,141,682.50 is: 66,050,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851,572 : 45,141,682.50 = 45,141,682.50 : x
  2. Step 2: Convert to fraction form
    30,851,572/45,141,682.50 = 45,141,682.50/x
  3. Step 3: Cross multiply
    30,851,572x = 45,141,682.50 × 45,141,682.50
  4. Step 4: Simplify right side
    30,851,572x = 2,037,771,498,930,806.25
  5. Step 5: Solve for x
    x = 2,037,771,498,930,806.25/30,851,572
  6. Step 6: Final answer
    x = 66,050,815.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.