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Finding the Third Proportional to 1,301,156,973 and 1,982,243,383

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Solution

The third proportional to 1,301,156,973 and 1,982,243,383 is: 3,019,842,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,156,973 : 1,982,243,383 = 1,982,243,383 : x
  2. Step 2: Convert to fraction form
    1,301,156,973/1,982,243,383 = 1,982,243,383/x
  3. Step 3: Cross multiply
    1,301,156,973x = 1,982,243,383 × 1,982,243,383
  4. Step 4: Simplify right side
    1,301,156,973x = 3,929,288,829,447,284,736
  5. Step 5: Solve for x
    x = 3,929,288,829,447,284,736/1,301,156,973
  6. Step 6: Final answer
    x = 3,019,842,271.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.