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Finding the Third Proportional to 4,643,806,344 and 10,103,862,324

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Solution

The third proportional to 4,643,806,344 and 10,103,862,324 is: 21,983,697,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643,806,344 : 10,103,862,324 = 10,103,862,324 : x
  2. Step 2: Convert to fraction form
    4,643,806,344/10,103,862,324 = 10,103,862,324/x
  3. Step 3: Cross multiply
    4,643,806,344x = 10,103,862,324 × 10,103,862,324
  4. Step 4: Simplify right side
    4,643,806,344x = 102,088,033,862,346,686,464
  5. Step 5: Solve for x
    x = 102,088,033,862,346,686,464/4,643,806,344
  6. Step 6: Final answer
    x = 21,983,697,488.65

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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.