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Finding the Third Proportional to 804,702,135 and 1,760,043,534

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Solution

The third proportional to 804,702,135 and 1,760,043,534 is: 3,849,565,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,702,135 : 1,760,043,534 = 1,760,043,534 : x
  2. Step 2: Convert to fraction form
    804,702,135/1,760,043,534 = 1,760,043,534/x
  3. Step 3: Cross multiply
    804,702,135x = 1,760,043,534 × 1,760,043,534
  4. Step 4: Simplify right side
    804,702,135x = 3,097,753,241,575,208,960
  5. Step 5: Solve for x
    x = 3,097,753,241,575,208,960/804,702,135
  6. Step 6: Final answer
    x = 3,849,565,083.58

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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.