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Finding the Third Proportional to 286,157,192 and 619,853,507

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Solution

The third proportional to 286,157,192 and 619,853,507 is: 1,342,682,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,157,192 : 619,853,507 = 619,853,507 : x
  2. Step 2: Convert to fraction form
    286,157,192/619,853,507 = 619,853,507/x
  3. Step 3: Cross multiply
    286,157,192x = 619,853,507 × 619,853,507
  4. Step 4: Simplify right side
    286,157,192x = 384,218,370,140,199,040
  5. Step 5: Solve for x
    x = 384,218,370,140,199,040/286,157,192
  6. Step 6: Final answer
    x = 1,342,682,906.04

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Why These Related Problems?

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