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Finding the Third Proportional to 538,492,864 and 1,179,137,598

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Solution

The third proportional to 538,492,864 and 1,179,137,598 is: 2,581,957,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,492,864 : 1,179,137,598 = 1,179,137,598 : x
  2. Step 2: Convert to fraction form
    538,492,864/1,179,137,598 = 1,179,137,598/x
  3. Step 3: Cross multiply
    538,492,864x = 1,179,137,598 × 1,179,137,598
  4. Step 4: Simplify right side
    538,492,864x = 1,390,365,475,017,209,600
  5. Step 5: Solve for x
    x = 1,390,365,475,017,209,600/538,492,864
  6. Step 6: Final answer
    x = 2,581,957,102.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.