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Finding the Third Proportional to 768,664,317,040 and 1,653,009,970,650

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Solution

The third proportional to 768,664,317,040 and 1,653,009,970,650 is: 3,554,792,257,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,664,317,040 : 1,653,009,970,650 = 1,653,009,970,650 : x
  2. Step 2: Convert to fraction form
    768,664,317,040/1,653,009,970,650 = 1,653,009,970,650/x
  3. Step 3: Cross multiply
    768,664,317,040x = 1,653,009,970,650 × 1,653,009,970,650
  4. Step 4: Simplify right side
    768,664,317,040x = 2,732,441,963,068,314,047,479,808
  5. Step 5: Solve for x
    x = 2,732,441,963,068,314,047,479,808/768,664,317,040
  6. Step 6: Final answer
    x = 3,554,792,257,809.62

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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.