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Finding the Third Proportional to 1,905,565,413 and 4,127,703,771

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Solution

The third proportional to 1,905,565,413 and 4,127,703,771 is: 8,941,145,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,565,413 : 4,127,703,771 = 4,127,703,771 : x
  2. Step 2: Convert to fraction form
    1,905,565,413/4,127,703,771 = 4,127,703,771/x
  3. Step 3: Cross multiply
    1,905,565,413x = 4,127,703,771 × 4,127,703,771
  4. Step 4: Simplify right side
    1,905,565,413x = 17,037,938,421,127,620,608
  5. Step 5: Solve for x
    x = 17,037,938,421,127,620,608/1,905,565,413
  6. Step 6: Final answer
    x = 8,941,145,921.78

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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.