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Finding the Third Proportional to 7,581,010,177.50 and 16,213,616,433

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Solution

The third proportional to 7,581,010,177.50 and 16,213,616,433 is: 34,676,296,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581,010,177.50 : 16,213,616,433 = 16,213,616,433 : x
  2. Step 2: Convert to fraction form
    7,581,010,177.50/16,213,616,433 = 16,213,616,433/x
  3. Step 3: Cross multiply
    7,581,010,177.50x = 16,213,616,433 × 16,213,616,433
  4. Step 4: Simplify right side
    7,581,010,177.50x = 262,881,357,836,447,645,696
  5. Step 5: Solve for x
    x = 262,881,357,836,447,645,696/7,581,010,177.50
  6. Step 6: Final answer
    x = 34,676,296,651.95

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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.