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Finding the Third Proportional to 332,317,971 and 723,153,501

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Solution

The third proportional to 332,317,971 and 723,153,501 is: 1,573,646,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,317,971 : 723,153,501 = 723,153,501 : x
  2. Step 2: Convert to fraction form
    332,317,971/723,153,501 = 723,153,501/x
  3. Step 3: Cross multiply
    332,317,971x = 723,153,501 × 723,153,501
  4. Step 4: Simplify right side
    332,317,971x = 522,950,986,008,556,992
  5. Step 5: Solve for x
    x = 522,950,986,008,556,992/332,317,971
  6. Step 6: Final answer
    x = 1,573,646,421.93

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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.