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Finding the Third Proportional to 605,742,647.63 and 1,317,617,674.88

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Solution

The third proportional to 605,742,647.63 and 1,317,617,674.88 is: 2,866,095,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,742,647.63 : 1,317,617,674.88 = 1,317,617,674.88 : x
  2. Step 2: Convert to fraction form
    605,742,647.63/1,317,617,674.88 = 1,317,617,674.88/x
  3. Step 3: Cross multiply
    605,742,647.63x = 1,317,617,674.88 × 1,317,617,674.88
  4. Step 4: Simplify right side
    605,742,647.63x = 1,736,116,337,143,001,088
  5. Step 5: Solve for x
    x = 1,736,116,337,143,001,088/605,742,647.63
  6. Step 6: Final answer
    x = 2,866,095,600.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.