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Finding the Third Proportional to 32,228,478,732 and 69,354,719,178

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Solution

The third proportional to 32,228,478,732 and 69,354,719,178 is: 149,249,274,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,228,478,732 : 69,354,719,178 = 69,354,719,178 : x
  2. Step 2: Convert to fraction form
    32,228,478,732/69,354,719,178 = 69,354,719,178/x
  3. Step 3: Cross multiply
    32,228,478,732x = 69,354,719,178 × 69,354,719,178
  4. Step 4: Simplify right side
    32,228,478,732x = 4,810,077,072,259,240,951,808
  5. Step 5: Solve for x
    x = 4,810,077,072,259,240,951,808/32,228,478,732
  6. Step 6: Final answer
    x = 149,249,274,601.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.