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Finding the Third Proportional to 3,568,547,774 and 7,730,077,756

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Solution

The third proportional to 3,568,547,774 and 7,730,077,756 is: 16,744,655,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568,547,774 : 7,730,077,756 = 7,730,077,756 : x
  2. Step 2: Convert to fraction form
    3,568,547,774/7,730,077,756 = 7,730,077,756/x
  3. Step 3: Cross multiply
    3,568,547,774x = 7,730,077,756 × 7,730,077,756
  4. Step 4: Simplify right side
    3,568,547,774x = 59,754,102,113,805,991,936
  5. Step 5: Solve for x
    x = 59,754,102,113,805,991,936/3,568,547,774
  6. Step 6: Final answer
    x = 16,744,655,220.58

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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.