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Finding the Third Proportional to 321,669,243 and 702,328,712

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Solution

The third proportional to 321,669,243 and 702,328,712 is: 1,533,455,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,669,243 : 702,328,712 = 702,328,712 : x
  2. Step 2: Convert to fraction form
    321,669,243/702,328,712 = 702,328,712/x
  3. Step 3: Cross multiply
    321,669,243x = 702,328,712 × 702,328,712
  4. Step 4: Simplify right side
    321,669,243x = 493,265,619,699,578,944
  5. Step 5: Solve for x
    x = 493,265,619,699,578,944/321,669,243
  6. Step 6: Final answer
    x = 1,533,455,965.82

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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.