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Finding the Third Proportional to 2,731,774,185 and 5,877,872,226

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Solution

The third proportional to 2,731,774,185 and 5,877,872,226 is: 12,647,232,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,774,185 : 5,877,872,226 = 5,877,872,226 : x
  2. Step 2: Convert to fraction form
    2,731,774,185/5,877,872,226 = 5,877,872,226/x
  3. Step 3: Cross multiply
    2,731,774,185x = 5,877,872,226 × 5,877,872,226
  4. Step 4: Simplify right side
    2,731,774,185x = 34,549,381,905,182,195,712
  5. Step 5: Solve for x
    x = 34,549,381,905,182,195,712/2,731,774,185
  6. Step 6: Final answer
    x = 12,647,232,005.81

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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.