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Finding the Third Proportional to 3,568,547,712 and 7,730,077,640

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Solution

The third proportional to 3,568,547,712 and 7,730,077,640 is: 16,744,655,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568,547,712 : 7,730,077,640 = 7,730,077,640 : x
  2. Step 2: Convert to fraction form
    3,568,547,712/7,730,077,640 = 7,730,077,640/x
  3. Step 3: Cross multiply
    3,568,547,712x = 7,730,077,640 × 7,730,077,640
  4. Step 4: Simplify right side
    3,568,547,712x = 59,754,100,320,427,966,464
  5. Step 5: Solve for x
    x = 59,754,100,320,427,966,464/3,568,547,712
  6. Step 6: Final answer
    x = 16,744,655,008.95

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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.