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Finding the Third Proportional to 9,357,856,795.50 and 20,807,996,814

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Solution

The third proportional to 9,357,856,795.50 and 20,807,996,814 is: 46,268,364,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357,856,795.50 : 20,807,996,814 = 20,807,996,814 : x
  2. Step 2: Convert to fraction form
    9,357,856,795.50/20,807,996,814 = 20,807,996,814/x
  3. Step 3: Cross multiply
    9,357,856,795.50x = 20,807,996,814 × 20,807,996,814
  4. Step 4: Simplify right side
    9,357,856,795.50x = 432,972,731,411,434,176,512
  5. Step 5: Solve for x
    x = 432,972,731,411,434,176,512/9,357,856,795.50
  6. Step 6: Final answer
    x = 46,268,364,741.34

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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.