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Finding the Third Proportional to 942,344,929 and 2,071,624,230

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Solution

The third proportional to 942,344,929 and 2,071,624,230 is: 4,554,199,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,344,929 : 2,071,624,230 = 2,071,624,230 : x
  2. Step 2: Convert to fraction form
    942,344,929/2,071,624,230 = 2,071,624,230/x
  3. Step 3: Cross multiply
    942,344,929x = 2,071,624,230 × 2,071,624,230
  4. Step 4: Simplify right side
    942,344,929x = 4,291,626,950,323,092,992
  5. Step 5: Solve for x
    x = 4,291,626,950,323,092,992/942,344,929
  6. Step 6: Final answer
    x = 4,554,199,654.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.