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Finding the Third Proportional to 712,256,928,768 and 1,536,087,809,088

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Solution

The third proportional to 712,256,928,768 and 1,536,087,809,088 is: 3,312,801,409,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,256,928,768 : 1,536,087,809,088 = 1,536,087,809,088 : x
  2. Step 2: Convert to fraction form
    712,256,928,768/1,536,087,809,088 = 1,536,087,809,088/x
  3. Step 3: Cross multiply
    712,256,928,768x = 1,536,087,809,088 × 1,536,087,809,088
  4. Step 4: Simplify right side
    712,256,928,768x = 2,359,565,757,228,771,918,741,504
  5. Step 5: Solve for x
    x = 2,359,565,757,228,771,918,741,504/712,256,928,768
  6. Step 6: Final answer
    x = 3,312,801,409,050.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.