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Finding the Third Proportional to 196,366,660 and 427,210,008

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Solution

The third proportional to 196,366,660 and 427,210,008 is: 929,426,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,366,660 : 427,210,008 = 427,210,008 : x
  2. Step 2: Convert to fraction form
    196,366,660/427,210,008 = 427,210,008/x
  3. Step 3: Cross multiply
    196,366,660x = 427,210,008 × 427,210,008
  4. Step 4: Simplify right side
    196,366,660x = 182,508,390,935,360,064
  5. Step 5: Solve for x
    x = 182,508,390,935,360,064/196,366,660
  6. Step 6: Final answer
    x = 929,426,568.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.