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Finding the Third Proportional to 605,742,642.75 and 1,317,617,664.75

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Solution

The third proportional to 605,742,642.75 and 1,317,617,664.75 is: 2,866,095,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,742,642.75 : 1,317,617,664.75 = 1,317,617,664.75 : x
  2. Step 2: Convert to fraction form
    605,742,642.75/1,317,617,664.75 = 1,317,617,664.75/x
  3. Step 3: Cross multiply
    605,742,642.75x = 1,317,617,664.75 × 1,317,617,664.75
  4. Step 4: Simplify right side
    605,742,642.75x = 1,736,116,310,461,243,392
  5. Step 5: Solve for x
    x = 1,736,116,310,461,243,392/605,742,642.75
  6. Step 6: Final answer
    x = 2,866,095,579.11

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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.