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Finding the Third Proportional to 992,872,242 and 1,599,781,671

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Solution

The third proportional to 992,872,242 and 1,599,781,671 is: 2,577,674,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,872,242 : 1,599,781,671 = 1,599,781,671 : x
  2. Step 2: Convert to fraction form
    992,872,242/1,599,781,671 = 1,599,781,671/x
  3. Step 3: Cross multiply
    992,872,242x = 1,599,781,671 × 1,599,781,671
  4. Step 4: Simplify right side
    992,872,242x = 2,559,301,394,867,552,256
  5. Step 5: Solve for x
    x = 2,559,301,394,867,552,256/992,872,242
  6. Step 6: Final answer
    x = 2,577,674,434.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.