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Finding the Third Proportional to 645,990,231.09 and 1,417,035,309.19

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Solution

The third proportional to 645,990,231.09 and 1,417,035,309.19 is: 3,108,389,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,990,231.09 : 1,417,035,309.19 = 1,417,035,309.19 : x
  2. Step 2: Convert to fraction form
    645,990,231.09/1,417,035,309.19 = 1,417,035,309.19/x
  3. Step 3: Cross multiply
    645,990,231.09x = 1,417,035,309.19 × 1,417,035,309.19
  4. Step 4: Simplify right side
    645,990,231.09x = 2,007,989,067,484,113,664
  5. Step 5: Solve for x
    x = 2,007,989,067,484,113,664/645,990,231.09
  6. Step 6: Final answer
    x = 3,108,389,215.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.