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Finding the Third Proportional to 3,648,756,314 and 7,966,331,104

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Solution

The third proportional to 3,648,756,314 and 7,966,331,104 is: 17,392,893,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648,756,314 : 7,966,331,104 = 7,966,331,104 : x
  2. Step 2: Convert to fraction form
    3,648,756,314/7,966,331,104 = 7,966,331,104/x
  3. Step 3: Cross multiply
    3,648,756,314x = 7,966,331,104 × 7,966,331,104
  4. Step 4: Simplify right side
    3,648,756,314x = 63,462,431,258,557,857,792
  5. Step 5: Solve for x
    x = 63,462,431,258,557,857,792/3,648,756,314
  6. Step 6: Final answer
    x = 17,392,893,851.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.