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Finding the Third Proportional to 1,412,030,758 and 3,078,306,492

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Solution

The third proportional to 1,412,030,758 and 3,078,306,492 is: 6,710,881,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,030,758 : 3,078,306,492 = 3,078,306,492 : x
  2. Step 2: Convert to fraction form
    1,412,030,758/3,078,306,492 = 3,078,306,492/x
  3. Step 3: Cross multiply
    1,412,030,758x = 3,078,306,492 × 3,078,306,492
  4. Step 4: Simplify right side
    1,412,030,758x = 9,475,970,858,689,345,536
  5. Step 5: Solve for x
    x = 9,475,970,858,689,345,536/1,412,030,758
  6. Step 6: Final answer
    x = 6,710,881,335.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.