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Finding the Third Proportional to 499,167,054 and 778,969,260

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Solution

The third proportional to 499,167,054 and 778,969,260 is: 1,215,611,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,167,054 : 778,969,260 = 778,969,260 : x
  2. Step 2: Convert to fraction form
    499,167,054/778,969,260 = 778,969,260/x
  3. Step 3: Cross multiply
    499,167,054x = 778,969,260 × 778,969,260
  4. Step 4: Simplify right side
    499,167,054x = 606,793,108,024,947,584
  5. Step 5: Solve for x
    x = 606,793,108,024,947,584/499,167,054
  6. Step 6: Final answer
    x = 1,215,611,293.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.