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Finding the Third Proportional to 1,699,548,705 and 3,657,377,817

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Solution

The third proportional to 1,699,548,705 and 3,657,377,817 is: 7,870,567,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,548,705 : 3,657,377,817 = 3,657,377,817 : x
  2. Step 2: Convert to fraction form
    1,699,548,705/3,657,377,817 = 3,657,377,817/x
  3. Step 3: Cross multiply
    1,699,548,705x = 3,657,377,817 × 3,657,377,817
  4. Step 4: Simplify right side
    1,699,548,705x = 13,376,412,496,283,684,864
  5. Step 5: Solve for x
    x = 13,376,412,496,283,684,864/1,699,548,705
  6. Step 6: Final answer
    x = 7,870,567,319.98

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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.