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Finding the Third Proportional to 4,693,773,066 and 9,947,153,508

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Solution

The third proportional to 4,693,773,066 and 9,947,153,508 is: 21,080,240,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693,773,066 : 9,947,153,508 = 9,947,153,508 : x
  2. Step 2: Convert to fraction form
    4,693,773,066/9,947,153,508 = 9,947,153,508/x
  3. Step 3: Cross multiply
    4,693,773,066x = 9,947,153,508 × 9,947,153,508
  4. Step 4: Simplify right side
    4,693,773,066x = 98,945,862,911,716,704,256
  5. Step 5: Solve for x
    x = 98,945,862,911,716,704,256/4,693,773,066
  6. Step 6: Final answer
    x = 21,080,240,037.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.