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Finding the Third Proportional to 51,368,476.50 and 75,209,802.75

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Solution

The third proportional to 51,368,476.50 and 75,209,802.75 is: 110,116,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,368,476.50 : 75,209,802.75 = 75,209,802.75 : x
  2. Step 2: Convert to fraction form
    51,368,476.50/75,209,802.75 = 75,209,802.75/x
  3. Step 3: Cross multiply
    51,368,476.50x = 75,209,802.75 × 75,209,802.75
  4. Step 4: Simplify right side
    51,368,476.50x = 5,656,514,429,693,908
  5. Step 5: Solve for x
    x = 5,656,514,429,693,908/51,368,476.50
  6. Step 6: Final answer
    x = 110,116,453.03

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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.