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Finding the Third Proportional to 787,693,764 and 1,607,027,637

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Solution

The third proportional to 787,693,764 and 1,607,027,637 is: 3,278,606,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,693,764 : 1,607,027,637 = 1,607,027,637 : x
  2. Step 2: Convert to fraction form
    787,693,764/1,607,027,637 = 1,607,027,637/x
  3. Step 3: Cross multiply
    787,693,764x = 1,607,027,637 × 1,607,027,637
  4. Step 4: Simplify right side
    787,693,764x = 2,582,537,826,081,803,776
  5. Step 5: Solve for x
    x = 2,582,537,826,081,803,776/787,693,764
  6. Step 6: Final answer
    x = 3,278,606,412.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.