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Finding the Third Proportional to 217,703,324 and 470,039,008

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Solution

The third proportional to 217,703,324 and 470,039,008 is: 1,014,852,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,703,324 : 470,039,008 = 470,039,008 : x
  2. Step 2: Convert to fraction form
    217,703,324/470,039,008 = 470,039,008/x
  3. Step 3: Cross multiply
    217,703,324x = 470,039,008 × 470,039,008
  4. Step 4: Simplify right side
    217,703,324x = 220,936,669,041,624,064
  5. Step 5: Solve for x
    x = 220,936,669,041,624,064/217,703,324
  6. Step 6: Final answer
    x = 1,014,852,070.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.