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Finding the Third Proportional to 22,357,440 and 31,642,164

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Solution

The third proportional to 22,357,440 and 31,642,164 is: 44,782,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357,440 : 31,642,164 = 31,642,164 : x
  2. Step 2: Convert to fraction form
    22,357,440/31,642,164 = 31,642,164/x
  3. Step 3: Cross multiply
    22,357,440x = 31,642,164 × 31,642,164
  4. Step 4: Simplify right side
    22,357,440x = 1,001,226,542,602,896
  5. Step 5: Solve for x
    x = 1,001,226,542,602,896/22,357,440
  6. Step 6: Final answer
    x = 44,782,700.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.