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Finding the Third Proportional to 808,014,350.81 and 1,137,366,415.69

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Solution

The third proportional to 808,014,350.81 and 1,137,366,415.69 is: 1,600,964,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,014,350.81 : 1,137,366,415.69 = 1,137,366,415.69 : x
  2. Step 2: Convert to fraction form
    808,014,350.81/1,137,366,415.69 = 1,137,366,415.69/x
  3. Step 3: Cross multiply
    808,014,350.81x = 1,137,366,415.69 × 1,137,366,415.69
  4. Step 4: Simplify right side
    808,014,350.81x = 1,293,602,363,533,831,168
  5. Step 5: Solve for x
    x = 1,293,602,363,533,831,168/808,014,350.81
  6. Step 6: Final answer
    x = 1,600,964,589.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.