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Finding the Third Proportional to 320,614,768 and 700,258,844

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Solution

The third proportional to 320,614,768 and 700,258,844 is: 1,529,444,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,614,768 : 700,258,844 = 700,258,844 : x
  2. Step 2: Convert to fraction form
    320,614,768/700,258,844 = 700,258,844/x
  3. Step 3: Cross multiply
    320,614,768x = 700,258,844 × 700,258,844
  4. Step 4: Simplify right side
    320,614,768x = 490,362,448,600,216,320
  5. Step 5: Solve for x
    x = 490,362,448,600,216,320/320,614,768
  6. Step 6: Final answer
    x = 1,529,444,359.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.