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Finding the Third Proportional to 7,086,937,930 and 15,184,729,602

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Solution

The third proportional to 7,086,937,930 and 15,184,729,602 is: 32,535,351,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086,937,930 : 15,184,729,602 = 15,184,729,602 : x
  2. Step 2: Convert to fraction form
    7,086,937,930/15,184,729,602 = 15,184,729,602/x
  3. Step 3: Cross multiply
    7,086,937,930x = 15,184,729,602 × 15,184,729,602
  4. Step 4: Simplify right side
    7,086,937,930x = 230,576,013,085,855,088,640
  5. Step 5: Solve for x
    x = 230,576,013,085,855,088,640/7,086,937,930
  6. Step 6: Final answer
    x = 32,535,351,002.55

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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.