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Finding the Third Proportional to 3,808,547,940 and 5,882,616,216

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Solution

The third proportional to 3,808,547,940 and 5,882,616,216 is: 9,086,185,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808,547,940 : 5,882,616,216 = 5,882,616,216 : x
  2. Step 2: Convert to fraction form
    3,808,547,940/5,882,616,216 = 5,882,616,216/x
  3. Step 3: Cross multiply
    3,808,547,940x = 5,882,616,216 × 5,882,616,216
  4. Step 4: Simplify right side
    3,808,547,940x = 34,605,173,544,746,160,128
  5. Step 5: Solve for x
    x = 34,605,173,544,746,160,128/3,808,547,940
  6. Step 6: Final answer
    x = 9,086,185,625.05

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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.