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Finding the Third Proportional to 3,568,547,776 and 7,730,077,760

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Solution

The third proportional to 3,568,547,776 and 7,730,077,760 is: 16,744,655,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568,547,776 : 7,730,077,760 = 7,730,077,760 : x
  2. Step 2: Convert to fraction form
    3,568,547,776/7,730,077,760 = 7,730,077,760/x
  3. Step 3: Cross multiply
    3,568,547,776x = 7,730,077,760 × 7,730,077,760
  4. Step 4: Simplify right side
    3,568,547,776x = 59,754,102,175,646,613,504
  5. Step 5: Solve for x
    x = 59,754,102,175,646,613,504/3,568,547,776
  6. Step 6: Final answer
    x = 16,744,655,228.53

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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.