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Finding the Third Proportional to 1,164,764,812.50 and 1,638,319,506.75

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Solution

The third proportional to 1,164,764,812.50 and 1,638,319,506.75 is: 2,304,405,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,764,812.50 : 1,638,319,506.75 = 1,638,319,506.75 : x
  2. Step 2: Convert to fraction form
    1,164,764,812.50/1,638,319,506.75 = 1,638,319,506.75/x
  3. Step 3: Cross multiply
    1,164,764,812.50x = 1,638,319,506.75 × 1,638,319,506.75
  4. Step 4: Simplify right side
    1,164,764,812.50x = 2,684,090,806,197,563,392
  5. Step 5: Solve for x
    x = 2,684,090,806,197,563,392/1,164,764,812.50
  6. Step 6: Final answer
    x = 2,304,405,814.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.