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Finding the Third Proportional to 707,680,197 and 1,107,722,457

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Solution

The third proportional to 707,680,197 and 1,107,722,457 is: 1,733,903,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,680,197 : 1,107,722,457 = 1,107,722,457 : x
  2. Step 2: Convert to fraction form
    707,680,197/1,107,722,457 = 1,107,722,457/x
  3. Step 3: Cross multiply
    707,680,197x = 1,107,722,457 × 1,107,722,457
  4. Step 4: Simplify right side
    707,680,197x = 1,227,049,041,742,116,864
  5. Step 5: Solve for x
    x = 1,227,049,041,742,116,864/707,680,197
  6. Step 6: Final answer
    x = 1,733,903,318.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.