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Finding the Third Proportional to 917,006,535 and 2,014,161,606

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Solution

The third proportional to 917,006,535 and 2,014,161,606 is: 4,424,010,975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,006,535 : 2,014,161,606 = 2,014,161,606 : x
  2. Step 2: Convert to fraction form
    917,006,535/2,014,161,606 = 2,014,161,606/x
  3. Step 3: Cross multiply
    917,006,535x = 2,014,161,606 × 2,014,161,606
  4. Step 4: Simplify right side
    917,006,535x = 4,056,846,975,084,499,456
  5. Step 5: Solve for x
    x = 4,056,846,975,084,499,456/917,006,535
  6. Step 6: Final answer
    x = 4,424,010,975.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.