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Finding the Third Proportional to 10,642,306.50 and 23,344,756.50

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Solution

The third proportional to 10,642,306.50 and 23,344,756.50 is: 51,208,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642,306.50 : 23,344,756.50 = 23,344,756.50 : x
  2. Step 2: Convert to fraction form
    10,642,306.50/23,344,756.50 = 23,344,756.50/x
  3. Step 3: Cross multiply
    10,642,306.50x = 23,344,756.50 × 23,344,756.50
  4. Step 4: Simplify right side
    10,642,306.50x = 544,977,656,044,292.25
  5. Step 5: Solve for x
    x = 544,977,656,044,292.25/10,642,306.50
  6. Step 6: Final answer
    x = 51,208,603.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.