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Finding the Third Proportional to 17,761,023 and 38,262,931.50

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Solution

The third proportional to 17,761,023 and 38,262,931.50 is: 82,430,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761,023 : 38,262,931.50 = 38,262,931.50 : x
  2. Step 2: Convert to fraction form
    17,761,023/38,262,931.50 = 38,262,931.50/x
  3. Step 3: Cross multiply
    17,761,023x = 38,262,931.50 × 38,262,931.50
  4. Step 4: Simplify right side
    17,761,023x = 1,464,051,926,973,692.25
  5. Step 5: Solve for x
    x = 1,464,051,926,973,692.25/17,761,023
  6. Step 6: Final answer
    x = 82,430,608.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.