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Finding the Third Proportional to 4,599,858,483.84 and 10,005,659,637.19

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Solution

The third proportional to 4,599,858,483.84 and 10,005,659,637.19 is: 21,764,414,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599,858,483.84 : 10,005,659,637.19 = 10,005,659,637.19 : x
  2. Step 2: Convert to fraction form
    4,599,858,483.84/10,005,659,637.19 = 10,005,659,637.19/x
  3. Step 3: Cross multiply
    4,599,858,483.84x = 10,005,659,637.19 × 10,005,659,637.19
  4. Step 4: Simplify right side
    4,599,858,483.84x = 100,113,224,775,253,098,496
  5. Step 5: Solve for x
    x = 100,113,224,775,253,098,496/4,599,858,483.84
  6. Step 6: Final answer
    x = 21,764,414,085.10

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