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Finding the Third Proportional to 1,692,163,919 and 3,711,214,354

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Solution

The third proportional to 1,692,163,919 and 3,711,214,354 is: 8,139,348,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692,163,919 : 3,711,214,354 = 3,711,214,354 : x
  2. Step 2: Convert to fraction form
    1,692,163,919/3,711,214,354 = 3,711,214,354/x
  3. Step 3: Cross multiply
    1,692,163,919x = 3,711,214,354 × 3,711,214,354
  4. Step 4: Simplify right side
    1,692,163,919x = 13,773,111,981,335,638,016
  5. Step 5: Solve for x
    x = 13,773,111,981,335,638,016/1,692,163,919
  6. Step 6: Final answer
    x = 8,139,348,574.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.