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Finding the Third Proportional to 1,699,580,799 and 3,657,441,888

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Solution

The third proportional to 1,699,580,799 and 3,657,441,888 is: 7,870,694,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,580,799 : 3,657,441,888 = 3,657,441,888 : x
  2. Step 2: Convert to fraction form
    1,699,580,799/3,657,441,888 = 3,657,441,888/x
  3. Step 3: Cross multiply
    1,699,580,799x = 3,657,441,888 × 3,657,441,888
  4. Step 4: Simplify right side
    1,699,580,799x = 13,376,881,164,097,003,520
  5. Step 5: Solve for x
    x = 13,376,881,164,097,003,520/1,699,580,799
  6. Step 6: Final answer
    x = 7,870,694,451.22

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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.