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Finding the Third Proportional to 1,571,595,117 and 2,619,167,343

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Solution

The third proportional to 1,571,595,117 and 2,619,167,343 is: 4,365,015,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,595,117 : 2,619,167,343 = 2,619,167,343 : x
  2. Step 2: Convert to fraction form
    1,571,595,117/2,619,167,343 = 2,619,167,343/x
  3. Step 3: Cross multiply
    1,571,595,117x = 2,619,167,343 × 2,619,167,343
  4. Step 4: Simplify right side
    1,571,595,117x = 6,860,037,570,637,679,616
  5. Step 5: Solve for x
    x = 6,860,037,570,637,679,616/1,571,595,117
  6. Step 6: Final answer
    x = 4,365,015,834.19

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.