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Finding the Third Proportional to 3,808,547,982 and 5,882,616,297

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Solution

The third proportional to 3,808,547,982 and 5,882,616,297 is: 9,086,185,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808,547,982 : 5,882,616,297 = 5,882,616,297 : x
  2. Step 2: Convert to fraction form
    3,808,547,982/5,882,616,297 = 5,882,616,297/x
  3. Step 3: Cross multiply
    3,808,547,982x = 5,882,616,297 × 5,882,616,297
  4. Step 4: Simplify right side
    3,808,547,982x = 34,605,174,497,729,990,656
  5. Step 5: Solve for x
    x = 34,605,174,497,729,990,656/3,808,547,982
  6. Step 6: Final answer
    x = 9,086,185,775.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.