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Finding the Third Proportional to 1,919,166,735 and 2,948,587,575

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Solution

The third proportional to 1,919,166,735 and 2,948,587,575 is: 4,530,178,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,166,735 : 2,948,587,575 = 2,948,587,575 : x
  2. Step 2: Convert to fraction form
    1,919,166,735/2,948,587,575 = 2,948,587,575/x
  3. Step 3: Cross multiply
    1,919,166,735x = 2,948,587,575 × 2,948,587,575
  4. Step 4: Simplify right side
    1,919,166,735x = 8,694,168,687,444,380,672
  5. Step 5: Solve for x
    x = 8,694,168,687,444,380,672/1,919,166,735
  6. Step 6: Final answer
    x = 4,530,178,920.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.