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Finding the Third Proportional to 210,500,606,552 and 454,551,359,104

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Solution

The third proportional to 210,500,606,552 and 454,551,359,104 is: 981,550,321,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,500,606,552 : 454,551,359,104 = 454,551,359,104 : x
  2. Step 2: Convert to fraction form
    210,500,606,552/454,551,359,104 = 454,551,359,104/x
  3. Step 3: Cross multiply
    210,500,606,552x = 454,551,359,104 × 454,551,359,104
  4. Step 4: Simplify right side
    210,500,606,552x = 206,616,938,063,293,579,264,000
  5. Step 5: Solve for x
    x = 206,616,938,063,293,579,264,000/210,500,606,552
  6. Step 6: Final answer
    x = 981,550,321,624.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.