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Finding the Third Proportional to 9,357,856,783.59 and 20,807,996,784.19

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Solution

The third proportional to 9,357,856,783.59 and 20,807,996,784.19 is: 46,268,364,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357,856,783.59 : 20,807,996,784.19 = 20,807,996,784.19 : x
  2. Step 2: Convert to fraction form
    9,357,856,783.59/20,807,996,784.19 = 20,807,996,784.19/x
  3. Step 3: Cross multiply
    9,357,856,783.59x = 20,807,996,784.19 × 20,807,996,784.19
  4. Step 4: Simplify right side
    9,357,856,783.59x = 432,972,730,170,778,124,288
  5. Step 5: Solve for x
    x = 432,972,730,170,778,124,288/9,357,856,783.59
  6. Step 6: Final answer
    x = 46,268,364,667.63

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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.