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Finding the Third Proportional to 31,256,999,432 and 67,051,463,055

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Solution

The third proportional to 31,256,999,432 and 67,051,463,055 is: 143,836,541,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,256,999,432 : 67,051,463,055 = 67,051,463,055 : x
  2. Step 2: Convert to fraction form
    31,256,999,432/67,051,463,055 = 67,051,463,055/x
  3. Step 3: Cross multiply
    31,256,999,432x = 67,051,463,055 × 67,051,463,055
  4. Step 4: Simplify right side
    31,256,999,432x = 4,495,898,697,816,030,052,352
  5. Step 5: Solve for x
    x = 4,495,898,697,816,030,052,352/31,256,999,432
  6. Step 6: Final answer
    x = 143,836,541,559.18

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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.