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Finding the Third Proportional to 65,001,956,490 and 91,537,078,662

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Solution

The third proportional to 65,001,956,490 and 91,537,078,662 is: 128,904,377,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001,956,490 : 91,537,078,662 = 91,537,078,662 : x
  2. Step 2: Convert to fraction form
    65,001,956,490/91,537,078,662 = 91,537,078,662/x
  3. Step 3: Cross multiply
    65,001,956,490x = 91,537,078,662 × 91,537,078,662
  4. Step 4: Simplify right side
    65,001,956,490x = 8,379,036,769,973,175,320,576
  5. Step 5: Solve for x
    x = 8,379,036,769,973,175,320,576/65,001,956,490
  6. Step 6: Final answer
    x = 128,904,377,997.64

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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.