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Finding the Third Proportional to 1,699,548,696.84 and 3,657,377,799

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Solution

The third proportional to 1,699,548,696.84 and 3,657,377,799 is: 7,870,567,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,548,696.84 : 3,657,377,799 = 3,657,377,799 : x
  2. Step 2: Convert to fraction form
    1,699,548,696.84/3,657,377,799 = 3,657,377,799/x
  3. Step 3: Cross multiply
    1,699,548,696.84x = 3,657,377,799 × 3,657,377,799
  4. Step 4: Simplify right side
    1,699,548,696.84x = 13,376,412,364,618,084,352
  5. Step 5: Solve for x
    x = 13,376,412,364,618,084,352/1,699,548,696.84
  6. Step 6: Final answer
    x = 7,870,567,280.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.