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Finding the Third Proportional to 13,154,661,436.50 and 31,043,665,674

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Solution

The third proportional to 13,154,661,436.50 and 31,043,665,674 is: 73,259,899,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154,661,436.50 : 31,043,665,674 = 31,043,665,674 : x
  2. Step 2: Convert to fraction form
    13,154,661,436.50/31,043,665,674 = 31,043,665,674/x
  3. Step 3: Cross multiply
    13,154,661,436.50x = 31,043,665,674 × 31,043,665,674
  4. Step 4: Simplify right side
    13,154,661,436.50x = 963,709,178,479,085,879,296
  5. Step 5: Solve for x
    x = 963,709,178,479,085,879,296/13,154,661,436.50
  6. Step 6: Final answer
    x = 73,259,899,780.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.