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Finding the Third Proportional to 21,034,023 and 32,310,823.50

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Solution

The third proportional to 21,034,023 and 32,310,823.50 is: 49,633,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034,023 : 32,310,823.50 = 32,310,823.50 : x
  2. Step 2: Convert to fraction form
    21,034,023/32,310,823.50 = 32,310,823.50/x
  3. Step 3: Cross multiply
    21,034,023x = 32,310,823.50 × 32,310,823.50
  4. Step 4: Simplify right side
    21,034,023x = 1,043,989,315,248,152.25
  5. Step 5: Solve for x
    x = 1,043,989,315,248,152.25/21,034,023
  6. Step 6: Final answer
    x = 49,633,363.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.