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Finding the Third Proportional to 2,954,648,400.75 and 4,610,851,705.13

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Solution

The third proportional to 2,954,648,400.75 and 4,610,851,705.13 is: 7,195,425,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,648,400.75 : 4,610,851,705.13 = 4,610,851,705.13 : x
  2. Step 2: Convert to fraction form
    2,954,648,400.75/4,610,851,705.13 = 4,610,851,705.13/x
  3. Step 3: Cross multiply
    2,954,648,400.75x = 4,610,851,705.13 × 4,610,851,705.13
  4. Step 4: Simplify right side
    2,954,648,400.75x = 21,259,953,446,654,119,936
  5. Step 5: Solve for x
    x = 21,259,953,446,654,119,936/2,954,648,400.75
  6. Step 6: Final answer
    x = 7,195,425,838.57

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.