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Finding the Third Proportional to 9,618,959,648 and 21,194,566,952

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Solution

The third proportional to 9,618,959,648 and 21,194,566,952 is: 46,700,442,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618,959,648 : 21,194,566,952 = 21,194,566,952 : x
  2. Step 2: Convert to fraction form
    9,618,959,648/21,194,566,952 = 21,194,566,952/x
  3. Step 3: Cross multiply
    9,618,959,648x = 21,194,566,952 × 21,194,566,952
  4. Step 4: Simplify right side
    9,618,959,648x = 449,209,668,282,810,564,608
  5. Step 5: Solve for x
    x = 449,209,668,282,810,564,608/9,618,959,648
  6. Step 6: Final answer
    x = 46,700,442,118.62

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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.