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Finding the Third Proportional to 1,699,298,943 and 2,624,414,550

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Solution

The third proportional to 1,699,298,943 and 2,624,414,550 is: 4,053,172,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,298,943 : 2,624,414,550 = 2,624,414,550 : x
  2. Step 2: Convert to fraction form
    1,699,298,943/2,624,414,550 = 2,624,414,550/x
  3. Step 3: Cross multiply
    1,699,298,943x = 2,624,414,550 × 2,624,414,550
  4. Step 4: Simplify right side
    1,699,298,943x = 6,887,551,730,251,702,272
  5. Step 5: Solve for x
    x = 6,887,551,730,251,702,272/1,699,298,943
  6. Step 6: Final answer
    x = 4,053,172,491.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.