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Finding the Third Proportional to 804,702,116 and 1,760,043,496

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Solution

The third proportional to 804,702,116 and 1,760,043,496 is: 3,849,565,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,702,116 : 1,760,043,496 = 1,760,043,496 : x
  2. Step 2: Convert to fraction form
    804,702,116/1,760,043,496 = 1,760,043,496/x
  3. Step 3: Cross multiply
    804,702,116x = 1,760,043,496 × 1,760,043,496
  4. Step 4: Simplify right side
    804,702,116x = 3,097,753,107,811,901,952
  5. Step 5: Solve for x
    x = 3,097,753,107,811,901,952/804,702,116
  6. Step 6: Final answer
    x = 3,849,565,008.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.