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Finding the Third Proportional to 321,671,008 and 702,331,968

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Solution

The third proportional to 321,671,008 and 702,331,968 is: 1,533,461,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,671,008 : 702,331,968 = 702,331,968 : x
  2. Step 2: Convert to fraction form
    321,671,008/702,331,968 = 702,331,968/x
  3. Step 3: Cross multiply
    321,671,008x = 702,331,968 × 702,331,968
  4. Step 4: Simplify right side
    321,671,008x = 493,270,193,274,753,024
  5. Step 5: Solve for x
    x = 493,270,193,274,753,024/321,671,008
  6. Step 6: Final answer
    x = 1,533,461,769.97

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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.