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Finding the Third Proportional to 1,833,492,978.28 and 3,971,582,073.07

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Solution

The third proportional to 1,833,492,978.28 and 3,971,582,073.07 is: 8,602,958,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833,492,978.28 : 3,971,582,073.07 = 3,971,582,073.07 : x
  2. Step 2: Convert to fraction form
    1,833,492,978.28/3,971,582,073.07 = 3,971,582,073.07/x
  3. Step 3: Cross multiply
    1,833,492,978.28x = 3,971,582,073.07 × 3,971,582,073.07
  4. Step 4: Simplify right side
    1,833,492,978.28x = 15,773,464,163,134,177,280
  5. Step 5: Solve for x
    x = 15,773,464,163,134,177,280/1,833,492,978.28
  6. Step 6: Final answer
    x = 8,602,958,587.78

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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.