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Finding the Third Proportional to 20,862,106.50 and 31,913,172

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Solution

The third proportional to 20,862,106.50 and 31,913,172 is: 48,818,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862,106.50 : 31,913,172 = 31,913,172 : x
  2. Step 2: Convert to fraction form
    20,862,106.50/31,913,172 = 31,913,172/x
  3. Step 3: Cross multiply
    20,862,106.50x = 31,913,172 × 31,913,172
  4. Step 4: Simplify right side
    20,862,106.50x = 1,018,450,547,101,584
  5. Step 5: Solve for x
    x = 1,018,450,547,101,584/20,862,106.50
  6. Step 6: Final answer
    x = 48,818,202.86

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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.