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Finding the Third Proportional to 7,581,010,182 and 16,213,616,442

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Solution

The third proportional to 7,581,010,182 and 16,213,616,442 is: 34,676,296,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581,010,182 : 16,213,616,442 = 16,213,616,442 : x
  2. Step 2: Convert to fraction form
    7,581,010,182/16,213,616,442 = 16,213,616,442/x
  3. Step 3: Cross multiply
    7,581,010,182x = 16,213,616,442 × 16,213,616,442
  4. Step 4: Simplify right side
    7,581,010,182x = 262,881,358,128,292,724,736
  5. Step 5: Solve for x
    x = 262,881,358,128,292,724,736/7,581,010,182
  6. Step 6: Final answer
    x = 34,676,296,669.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.