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Finding the Third Proportional to 609,545,696.50 and 1,335,543,493.50

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Solution

The third proportional to 609,545,696.50 and 1,335,543,493.50 is: 2,926,239,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,545,696.50 : 1,335,543,493.50 = 1,335,543,493.50 : x
  2. Step 2: Convert to fraction form
    609,545,696.50/1,335,543,493.50 = 1,335,543,493.50/x
  3. Step 3: Cross multiply
    609,545,696.50x = 1,335,543,493.50 × 1,335,543,493.50
  4. Step 4: Simplify right side
    609,545,696.50x = 1,783,676,423,030,184,448
  5. Step 5: Solve for x
    x = 1,783,676,423,030,184,448/609,545,696.50
  6. Step 6: Final answer
    x = 2,926,239,055.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.