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Finding the Third Proportional to 3,332,501,545,068 and 5,098,354,238,866

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Solution

The third proportional to 3,332,501,545,068 and 5,098,354,238,866 is: 7,799,911,145,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332,501,545,068 : 5,098,354,238,866 = 5,098,354,238,866 : x
  2. Step 2: Convert to fraction form
    3,332,501,545,068/5,098,354,238,866 = 5,098,354,238,866/x
  3. Step 3: Cross multiply
    3,332,501,545,068x = 5,098,354,238,866 × 5,098,354,238,866
  4. Step 4: Simplify right side
    3,332,501,545,068x = 25,993,215,944,962,908,237,070,336
  5. Step 5: Solve for x
    x = 25,993,215,944,962,908,237,070,336/3,332,501,545,068
  6. Step 6: Final answer
    x = 7,799,911,145,857.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.