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Finding the Third Proportional to 338,877,052 and 739,900,328

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Solution

The third proportional to 338,877,052 and 739,900,328 is: 1,615,490,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,877,052 : 739,900,328 = 739,900,328 : x
  2. Step 2: Convert to fraction form
    338,877,052/739,900,328 = 739,900,328/x
  3. Step 3: Cross multiply
    338,877,052x = 739,900,328 × 739,900,328
  4. Step 4: Simplify right side
    338,877,052x = 547,452,495,374,507,584
  5. Step 5: Solve for x
    x = 547,452,495,374,507,584/338,877,052
  6. Step 6: Final answer
    x = 1,615,490,019.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.