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Finding the Third Proportional to 9,357,856,776 and 20,807,996,766

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Solution

The third proportional to 9,357,856,776 and 20,807,996,766 is: 46,268,364,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357,856,776 : 20,807,996,766 = 20,807,996,766 : x
  2. Step 2: Convert to fraction form
    9,357,856,776/20,807,996,766 = 20,807,996,766/x
  3. Step 3: Cross multiply
    9,357,856,776x = 20,807,996,766 × 20,807,996,766
  4. Step 4: Simplify right side
    9,357,856,776x = 432,972,729,413,866,487,808
  5. Step 5: Solve for x
    x = 432,972,729,413,866,487,808/9,357,856,776
  6. Step 6: Final answer
    x = 46,268,364,624.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.