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Finding the Third Proportional to 917,006,202 and 2,014,160,742

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Solution

The third proportional to 917,006,202 and 2,014,160,742 is: 4,424,008,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,006,202 : 2,014,160,742 = 2,014,160,742 : x
  2. Step 2: Convert to fraction form
    917,006,202/2,014,160,742 = 2,014,160,742/x
  3. Step 3: Cross multiply
    917,006,202x = 2,014,160,742 × 2,014,160,742
  4. Step 4: Simplify right side
    917,006,202x = 4,056,843,494,613,990,400
  5. Step 5: Solve for x
    x = 4,056,843,494,613,990,400/917,006,202
  6. Step 6: Final answer
    x = 4,424,008,786.16

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Why These Related Problems?

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