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Finding the Third Proportional to 540,650,329 and 837,538,353.38

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Solution

The third proportional to 540,650,329 and 837,538,353.38 is: 1,297,456,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,650,329 : 837,538,353.38 = 837,538,353.38 : x
  2. Step 2: Convert to fraction form
    540,650,329/837,538,353.38 = 837,538,353.38/x
  3. Step 3: Cross multiply
    540,650,329x = 837,538,353.38 × 837,538,353.38
  4. Step 4: Simplify right side
    540,650,329x = 701,470,493,374,106,368
  5. Step 5: Solve for x
    x = 701,470,493,374,106,368/540,650,329
  6. Step 6: Final answer
    x = 1,297,456,888.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.