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Finding the Third Proportional to 9,357,856,764.19 and 20,807,996,744.53

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Solution

The third proportional to 9,357,856,764.19 and 20,807,996,744.53 is: 46,268,364,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357,856,764.19 : 20,807,996,744.53 = 20,807,996,744.53 : x
  2. Step 2: Convert to fraction form
    9,357,856,764.19/20,807,996,744.53 = 20,807,996,744.53/x
  3. Step 3: Cross multiply
    9,357,856,764.19x = 20,807,996,744.53 × 20,807,996,744.53
  4. Step 4: Simplify right side
    9,357,856,764.19x = 432,972,728,520,412,626,944
  5. Step 5: Solve for x
    x = 432,972,728,520,412,626,944/9,357,856,764.19
  6. Step 6: Final answer
    x = 46,268,364,587.22

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1.5x scale

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.