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Finding the Third Proportional to 1,662,424,229.25 and 3,614,210,698.50

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Solution

The third proportional to 1,662,424,229.25 and 3,614,210,698.50 is: 7,857,512,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662,424,229.25 : 3,614,210,698.50 = 3,614,210,698.50 : x
  2. Step 2: Convert to fraction form
    1,662,424,229.25/3,614,210,698.50 = 3,614,210,698.50/x
  3. Step 3: Cross multiply
    1,662,424,229.25x = 3,614,210,698.50 × 3,614,210,698.50
  4. Step 4: Simplify right side
    1,662,424,229.25x = 13,062,518,973,151,858,688
  5. Step 5: Solve for x
    x = 13,062,518,973,151,858,688/1,662,424,229.25
  6. Step 6: Final answer
    x = 7,857,512,386.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.