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Finding the Third Proportional to 10,830,315 and 23,786,133

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Solution

The third proportional to 10,830,315 and 23,786,133 is: 52,240,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830,315 : 23,786,133 = 23,786,133 : x
  2. Step 2: Convert to fraction form
    10,830,315/23,786,133 = 23,786,133/x
  3. Step 3: Cross multiply
    10,830,315x = 23,786,133 × 23,786,133
  4. Step 4: Simplify right side
    10,830,315x = 565,780,123,093,689
  5. Step 5: Solve for x
    x = 565,780,123,093,689/10,830,315
  6. Step 6: Final answer
    x = 52,240,412.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.