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Finding the Third Proportional to 15,114,051,508.50 and 32,797,187,226

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Solution

The third proportional to 15,114,051,508.50 and 32,797,187,226 is: 71,169,235,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114,051,508.50 : 32,797,187,226 = 32,797,187,226 : x
  2. Step 2: Convert to fraction form
    15,114,051,508.50/32,797,187,226 = 32,797,187,226/x
  3. Step 3: Cross multiply
    15,114,051,508.50x = 32,797,187,226 × 32,797,187,226
  4. Step 4: Simplify right side
    15,114,051,508.50x = 1,075,655,489,937,297,637,376
  5. Step 5: Solve for x
    x = 1,075,655,489,937,297,637,376/15,114,051,508.50
  6. Step 6: Final answer
    x = 71,169,235,418.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.