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Finding the Third Proportional to 241,447,622.34 and 523,006,659.84

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Solution

The third proportional to 241,447,622.34 and 523,006,659.84 is: 1,132,899,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,447,622.34 : 523,006,659.84 = 523,006,659.84 : x
  2. Step 2: Convert to fraction form
    241,447,622.34/523,006,659.84 = 523,006,659.84/x
  3. Step 3: Cross multiply
    241,447,622.34x = 523,006,659.84 × 523,006,659.84
  4. Step 4: Simplify right side
    241,447,622.34x = 273,535,966,240,916,032
  5. Step 5: Solve for x
    x = 273,535,966,240,916,032/241,447,622.34
  6. Step 6: Final answer
    x = 1,132,899,813.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.