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Finding the Third Proportional to 19,648,222,596 and 42,739,017,084

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Solution

The third proportional to 19,648,222,596 and 42,739,017,084 is: 92,966,352,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648,222,596 : 42,739,017,084 = 42,739,017,084 : x
  2. Step 2: Convert to fraction form
    19,648,222,596/42,739,017,084 = 42,739,017,084/x
  3. Step 3: Cross multiply
    19,648,222,596x = 42,739,017,084 × 42,739,017,084
  4. Step 4: Simplify right side
    19,648,222,596x = 1,826,623,581,306,443,792,384
  5. Step 5: Solve for x
    x = 1,826,623,581,306,443,792,384/19,648,222,596
  6. Step 6: Final answer
    x = 92,966,352,166.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.