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Finding the Third Proportional to 224,741,570,544 and 324,712,759,260

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Solution

The third proportional to 224,741,570,544 and 324,712,759,260 is: 469,153,863,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,741,570,544 : 324,712,759,260 = 324,712,759,260 : x
  2. Step 2: Convert to fraction form
    224,741,570,544/324,712,759,260 = 324,712,759,260/x
  3. Step 3: Cross multiply
    224,741,570,544x = 324,712,759,260 × 324,712,759,260
  4. Step 4: Simplify right side
    224,741,570,544x = 105,438,376,026,242,715,484,160
  5. Step 5: Solve for x
    x = 105,438,376,026,242,715,484,160/224,741,570,544
  6. Step 6: Final answer
    x = 469,153,863,128.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.