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Finding the Third Proportional to 2,731,774,188 and 5,877,872,232

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Solution

The third proportional to 2,731,774,188 and 5,877,872,232 is: 12,647,232,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,774,188 : 5,877,872,232 = 5,877,872,232 : x
  2. Step 2: Convert to fraction form
    2,731,774,188/5,877,872,232 = 5,877,872,232/x
  3. Step 3: Cross multiply
    2,731,774,188x = 5,877,872,232 × 5,877,872,232
  4. Step 4: Simplify right side
    2,731,774,188x = 34,549,381,975,716,663,296
  5. Step 5: Solve for x
    x = 34,549,381,975,716,663,296/2,731,774,188
  6. Step 6: Final answer
    x = 12,647,232,017.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.