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Finding the Third Proportional to 3,533,528,096 and 7,655,943,216

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Solution

The third proportional to 3,533,528,096 and 7,655,943,216 is: 16,587,802,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533,528,096 : 7,655,943,216 = 7,655,943,216 : x
  2. Step 2: Convert to fraction form
    3,533,528,096/7,655,943,216 = 7,655,943,216/x
  3. Step 3: Cross multiply
    3,533,528,096x = 7,655,943,216 × 7,655,943,216
  4. Step 4: Simplify right side
    3,533,528,096x = 58,613,466,526,616,420,352
  5. Step 5: Solve for x
    x = 58,613,466,526,616,420,352/3,533,528,096
  6. Step 6: Final answer
    x = 16,587,802,596.78

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Why These Related Problems?

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