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Finding the Third Proportional to 20,862,075 and 31,913,125.50

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Solution

The third proportional to 20,862,075 and 31,913,125.50 is: 48,818,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862,075 : 31,913,125.50 = 31,913,125.50 : x
  2. Step 2: Convert to fraction form
    20,862,075/31,913,125.50 = 31,913,125.50/x
  3. Step 3: Cross multiply
    20,862,075x = 31,913,125.50 × 31,913,125.50
  4. Step 4: Simplify right side
    20,862,075x = 1,018,447,579,178,750.25
  5. Step 5: Solve for x
    x = 1,018,447,579,178,750.25/20,862,075
  6. Step 6: Final answer
    x = 48,818,134.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.