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Finding the Third Proportional to 358,704,181 and 772,422,346

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Solution

The third proportional to 358,704,181 and 772,422,346 is: 1,663,310,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,704,181 : 772,422,346 = 772,422,346 : x
  2. Step 2: Convert to fraction form
    358,704,181/772,422,346 = 772,422,346/x
  3. Step 3: Cross multiply
    358,704,181x = 772,422,346 × 772,422,346
  4. Step 4: Simplify right side
    358,704,181x = 596,636,280,600,143,744
  5. Step 5: Solve for x
    x = 596,636,280,600,143,744/358,704,181
  6. Step 6: Final answer
    x = 1,663,310,081.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.