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Finding the Third Proportional to 1,142,523,832 and 1,578,708,386

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Solution

The third proportional to 1,142,523,832 and 1,578,708,386 is: 2,181,416,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,523,832 : 1,578,708,386 = 1,578,708,386 : x
  2. Step 2: Convert to fraction form
    1,142,523,832/1,578,708,386 = 1,578,708,386/x
  3. Step 3: Cross multiply
    1,142,523,832x = 1,578,708,386 × 1,578,708,386
  4. Step 4: Simplify right side
    1,142,523,832x = 2,492,320,168,026,724,864
  5. Step 5: Solve for x
    x = 2,492,320,168,026,724,864/1,142,523,832
  6. Step 6: Final answer
    x = 2,181,416,350.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.