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Finding the Third Proportional to 3,838,333,334.50 and 5,897,174,949

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Solution

The third proportional to 3,838,333,334.50 and 5,897,174,949 is: 9,060,357,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,333,334.50 : 5,897,174,949 = 5,897,174,949 : x
  2. Step 2: Convert to fraction form
    3,838,333,334.50/5,897,174,949 = 5,897,174,949/x
  3. Step 3: Cross multiply
    3,838,333,334.50x = 5,897,174,949 × 5,897,174,949
  4. Step 4: Simplify right side
    3,838,333,334.50x = 34,776,672,379,113,152,512
  5. Step 5: Solve for x
    x = 34,776,672,379,113,152,512/3,838,333,334.50
  6. Step 6: Final answer
    x = 9,060,357,542.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.