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Finding the Third Proportional to 3,568,547,777.50 and 7,730,077,763

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Solution

The third proportional to 3,568,547,777.50 and 7,730,077,763 is: 16,744,655,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568,547,777.50 : 7,730,077,763 = 7,730,077,763 : x
  2. Step 2: Convert to fraction form
    3,568,547,777.50/7,730,077,763 = 7,730,077,763/x
  3. Step 3: Cross multiply
    3,568,547,777.50x = 7,730,077,763 × 7,730,077,763
  4. Step 4: Simplify right side
    3,568,547,777.50x = 59,754,102,222,027,087,872
  5. Step 5: Solve for x
    x = 59,754,102,222,027,087,872/3,568,547,777.50
  6. Step 6: Final answer
    x = 16,744,655,234.49

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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.