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Finding the Third Proportional to 612,296,413.73 and 945,512,860.46

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Solution

The third proportional to 612,296,413.73 and 945,512,860.46 is: 1,460,068,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,296,413.73 : 945,512,860.46 = 945,512,860.46 : x
  2. Step 2: Convert to fraction form
    612,296,413.73/945,512,860.46 = 945,512,860.46/x
  3. Step 3: Cross multiply
    612,296,413.73x = 945,512,860.46 × 945,512,860.46
  4. Step 4: Simplify right side
    612,296,413.73x = 893,994,569,304,347,264
  5. Step 5: Solve for x
    x = 893,994,569,304,347,264/612,296,413.73
  6. Step 6: Final answer
    x = 1,460,068,276.17

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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.