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Finding the Third Proportional to 4,693,773,068 and 9,947,153,512

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Solution

The third proportional to 4,693,773,068 and 9,947,153,512 is: 21,080,240,045.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693,773,068 : 9,947,153,512 = 9,947,153,512 : x
  2. Step 2: Convert to fraction form
    4,693,773,068/9,947,153,512 = 9,947,153,512/x
  3. Step 3: Cross multiply
    4,693,773,068x = 9,947,153,512 × 9,947,153,512
  4. Step 4: Simplify right side
    4,693,773,068x = 98,945,862,991,293,939,712
  5. Step 5: Solve for x
    x = 98,945,862,991,293,939,712/4,693,773,068
  6. Step 6: Final answer
    x = 21,080,240,045.23

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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.