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Finding the Third Proportional to 51,368,510 and 75,209,835

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Solution

The third proportional to 51,368,510 and 75,209,835 is: 110,116,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,368,510 : 75,209,835 = 75,209,835 : x
  2. Step 2: Convert to fraction form
    51,368,510/75,209,835 = 75,209,835/x
  3. Step 3: Cross multiply
    51,368,510x = 75,209,835 × 75,209,835
  4. Step 4: Simplify right side
    51,368,510x = 5,656,519,280,727,225
  5. Step 5: Solve for x
    x = 5,656,519,280,727,225/51,368,510
  6. Step 6: Final answer
    x = 110,116,475.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.