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Finding the Third Proportional to 2,077,817,590 and 4,571,191,418

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Solution

The third proportional to 2,077,817,590 and 4,571,191,418 is: 10,056,605,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,817,590 : 4,571,191,418 = 4,571,191,418 : x
  2. Step 2: Convert to fraction form
    2,077,817,590/4,571,191,418 = 4,571,191,418/x
  3. Step 3: Cross multiply
    2,077,817,590x = 4,571,191,418 × 4,571,191,418
  4. Step 4: Simplify right side
    2,077,817,590x = 20,895,790,979,996,852,224
  5. Step 5: Solve for x
    x = 20,895,790,979,996,852,224/2,077,817,590
  6. Step 6: Final answer
    x = 10,056,605,103.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.