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Finding the Third Proportional to 224,470,574,132 and 488,457,017,704

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Solution

The third proportional to 224,470,574,132 and 488,457,017,704 is: 1,062,902,160,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,470,574,132 : 488,457,017,704 = 488,457,017,704 : x
  2. Step 2: Convert to fraction form
    224,470,574,132/488,457,017,704 = 488,457,017,704/x
  3. Step 3: Cross multiply
    224,470,574,132x = 488,457,017,704 × 488,457,017,704
  4. Step 4: Simplify right side
    224,470,574,132x = 238,590,258,144,285,781,131,264
  5. Step 5: Solve for x
    x = 238,590,258,144,285,781,131,264/224,470,574,132
  6. Step 6: Final answer
    x = 1,062,902,160,191.31

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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.