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Finding the Third Proportional to 21,215,329,164 and 46,197,246,432

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Solution

The third proportional to 21,215,329,164 and 46,197,246,432 is: 100,596,392,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,215,329,164 : 46,197,246,432 = 46,197,246,432 : x
  2. Step 2: Convert to fraction form
    21,215,329,164/46,197,246,432 = 46,197,246,432/x
  3. Step 3: Cross multiply
    21,215,329,164x = 46,197,246,432 × 46,197,246,432
  4. Step 4: Simplify right side
    21,215,329,164x = 2,134,185,577,898,936,631,296
  5. Step 5: Solve for x
    x = 2,134,185,577,898,936,631,296/21,215,329,164
  6. Step 6: Final answer
    x = 100,596,392,419.89

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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.