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Finding the Third Proportional to 3,537,436,565 and 7,571,798,898

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Solution

The third proportional to 3,537,436,565 and 7,571,798,898 is: 16,207,255,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537,436,565 : 7,571,798,898 = 7,571,798,898 : x
  2. Step 2: Convert to fraction form
    3,537,436,565/7,571,798,898 = 7,571,798,898/x
  3. Step 3: Cross multiply
    3,537,436,565x = 7,571,798,898 × 7,571,798,898
  4. Step 4: Simplify right side
    3,537,436,565x = 57,332,138,551,754,014,720
  5. Step 5: Solve for x
    x = 57,332,138,551,754,014,720/3,537,436,565
  6. Step 6: Final answer
    x = 16,207,255,592.65

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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.