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Finding the Third Proportional to 77,962,943,172 and 115,528,599,430

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Solution

The third proportional to 77,962,943,172 and 115,528,599,430 is: 171,194,887,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,962,943,172 : 115,528,599,430 = 115,528,599,430 : x
  2. Step 2: Convert to fraction form
    77,962,943,172/115,528,599,430 = 115,528,599,430/x
  3. Step 3: Cross multiply
    77,962,943,172x = 115,528,599,430 × 115,528,599,430
  4. Step 4: Simplify right side
    77,962,943,172x = 13,346,857,286,257,396,940,800
  5. Step 5: Solve for x
    x = 13,346,857,286,257,396,940,800/77,962,943,172
  6. Step 6: Final answer
    x = 171,194,887,509.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.