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Finding the Third Proportional to 764,658,762 and 1,646,976,693

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Solution

The third proportional to 764,658,762 and 1,646,976,693 is: 3,547,376,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,658,762 : 1,646,976,693 = 1,646,976,693 : x
  2. Step 2: Convert to fraction form
    764,658,762/1,646,976,693 = 1,646,976,693/x
  3. Step 3: Cross multiply
    764,658,762x = 1,646,976,693 × 1,646,976,693
  4. Step 4: Simplify right side
    764,658,762x = 2,712,532,227,285,216,256
  5. Step 5: Solve for x
    x = 2,712,532,227,285,216,256/764,658,762
  6. Step 6: Final answer
    x = 3,547,376,113.48

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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.