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Finding the Third Proportional to 357,448,619 and 771,354,886

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Solution

The third proportional to 357,448,619 and 771,354,886 is: 1,664,542,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,448,619 : 771,354,886 = 771,354,886 : x
  2. Step 2: Convert to fraction form
    357,448,619/771,354,886 = 771,354,886/x
  3. Step 3: Cross multiply
    357,448,619x = 771,354,886 × 771,354,886
  4. Step 4: Simplify right side
    357,448,619x = 594,988,360,156,072,960
  5. Step 5: Solve for x
    x = 594,988,360,156,072,960/357,448,619
  6. Step 6: Final answer
    x = 1,664,542,338.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.