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Finding the Third Proportional to 764,658,764 and 1,646,976,697

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Solution

The third proportional to 764,658,764 and 1,646,976,697 is: 3,547,376,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,658,764 : 1,646,976,697 = 1,646,976,697 : x
  2. Step 2: Convert to fraction form
    764,658,764/1,646,976,697 = 1,646,976,697/x
  3. Step 3: Cross multiply
    764,658,764x = 1,646,976,697 × 1,646,976,697
  4. Step 4: Simplify right side
    764,658,764x = 2,712,532,240,461,029,888
  5. Step 5: Solve for x
    x = 2,712,532,240,461,029,888/764,658,764
  6. Step 6: Final answer
    x = 3,547,376,121.44

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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.