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Finding the Third Proportional to 764,658,642 and 1,646,976,437

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Solution

The third proportional to 764,658,642 and 1,646,976,437 is: 3,547,375,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,658,642 : 1,646,976,437 = 1,646,976,437 : x
  2. Step 2: Convert to fraction form
    764,658,642/1,646,976,437 = 1,646,976,437/x
  3. Step 3: Cross multiply
    764,658,642x = 1,646,976,437 × 1,646,976,437
  4. Step 4: Simplify right side
    764,658,642x = 2,712,531,384,033,214,976
  5. Step 5: Solve for x
    x = 2,712,531,384,033,214,976/764,658,642
  6. Step 6: Final answer
    x = 3,547,375,567.40

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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.