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Finding the Third Proportional to 1,928,639,650 and 4,186,064,024

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Solution

The third proportional to 1,928,639,650 and 4,186,064,024 is: 9,085,747,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,639,650 : 4,186,064,024 = 4,186,064,024 : x
  2. Step 2: Convert to fraction form
    1,928,639,650/4,186,064,024 = 4,186,064,024/x
  3. Step 3: Cross multiply
    1,928,639,650x = 4,186,064,024 × 4,186,064,024
  4. Step 4: Simplify right side
    1,928,639,650x = 17,523,132,013,027,072,000
  5. Step 5: Solve for x
    x = 17,523,132,013,027,072,000/1,928,639,650
  6. Step 6: Final answer
    x = 9,085,747,051.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.