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Finding the Third Proportional to 1,014,909,134 and 1,614,932,836

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Solution

The third proportional to 1,014,909,134 and 1,614,932,836 is: 2,569,696,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,909,134 : 1,614,932,836 = 1,614,932,836 : x
  2. Step 2: Convert to fraction form
    1,014,909,134/1,614,932,836 = 1,614,932,836/x
  3. Step 3: Cross multiply
    1,014,909,134x = 1,614,932,836 × 1,614,932,836
  4. Step 4: Simplify right side
    1,014,909,134x = 2,608,008,064,791,003,136
  5. Step 5: Solve for x
    x = 2,608,008,064,791,003,136/1,014,909,134
  6. Step 6: Final answer
    x = 2,569,696,120.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.