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Finding the Third Proportional to 65,001,956,486 and 91,537,078,656

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Solution

The third proportional to 65,001,956,486 and 91,537,078,656 is: 128,904,377,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001,956,486 : 91,537,078,656 = 91,537,078,656 : x
  2. Step 2: Convert to fraction form
    65,001,956,486/91,537,078,656 = 91,537,078,656/x
  3. Step 3: Cross multiply
    65,001,956,486x = 91,537,078,656 × 91,537,078,656
  4. Step 4: Simplify right side
    65,001,956,486x = 8,379,036,768,874,731,143,168
  5. Step 5: Solve for x
    x = 8,379,036,768,874,731,143,168/65,001,956,486
  6. Step 6: Final answer
    x = 128,904,377,988.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.