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Finding the Third Proportional to 768,664,317,042 and 1,653,009,970,654

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Solution

The third proportional to 768,664,317,042 and 1,653,009,970,654 is: 3,554,792,257,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,664,317,042 : 1,653,009,970,654 = 1,653,009,970,654 : x
  2. Step 2: Convert to fraction form
    768,664,317,042/1,653,009,970,654 = 1,653,009,970,654/x
  3. Step 3: Cross multiply
    768,664,317,042x = 1,653,009,970,654 × 1,653,009,970,654
  4. Step 4: Simplify right side
    768,664,317,042x = 2,732,441,963,081,537,714,913,280
  5. Step 5: Solve for x
    x = 2,732,441,963,081,537,714,913,280/768,664,317,042
  6. Step 6: Final answer
    x = 3,554,792,257,817.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.