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Finding the Third Proportional to 209,581,039,502 and 455,882,845,751

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Solution

The third proportional to 209,581,039,502 and 455,882,845,751 is: 991,641,083,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,581,039,502 : 455,882,845,751 = 455,882,845,751 : x
  2. Step 2: Convert to fraction form
    209,581,039,502/455,882,845,751 = 455,882,845,751/x
  3. Step 3: Cross multiply
    209,581,039,502x = 455,882,845,751 × 455,882,845,751
  4. Step 4: Simplify right side
    209,581,039,502x = 207,829,169,050,030,073,446,400
  5. Step 5: Solve for x
    x = 207,829,169,050,030,073,446,400/209,581,039,502
  6. Step 6: Final answer
    x = 991,641,083,295.83

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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.