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Finding the Third Proportional to 23,877,697,002 and 51,109,642,938

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Solution

The third proportional to 23,877,697,002 and 51,109,642,938 is: 109,398,975,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877,697,002 : 51,109,642,938 = 51,109,642,938 : x
  2. Step 2: Convert to fraction form
    23,877,697,002/51,109,642,938 = 51,109,642,938/x
  3. Step 3: Cross multiply
    23,877,697,002x = 51,109,642,938 × 51,109,642,938
  4. Step 4: Simplify right side
    23,877,697,002x = 2,612,195,601,249,853,243,392
  5. Step 5: Solve for x
    x = 2,612,195,601,249,853,243,392/23,877,697,002
  6. Step 6: Final answer
    x = 109,398,975,999.70

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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.