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Finding the Third Proportional to 34,152,220,270 and 51,027,445,297

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Solution

The third proportional to 34,152,220,270 and 51,027,445,297 is: 76,241,021,899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,152,220,270 : 51,027,445,297 = 51,027,445,297 : x
  2. Step 2: Convert to fraction form
    34,152,220,270/51,027,445,297 = 51,027,445,297/x
  3. Step 3: Cross multiply
    34,152,220,270x = 51,027,445,297 × 51,027,445,297
  4. Step 4: Simplify right side
    34,152,220,270x = 2,603,800,173,538,327,396,352
  5. Step 5: Solve for x
    x = 2,603,800,173,538,327,396,352/34,152,220,270
  6. Step 6: Final answer
    x = 76,241,021,899.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.