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Finding the Third Proportional to 51,044,010 and 78,458,316.50

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Solution

The third proportional to 51,044,010 and 78,458,316.50 is: 120,596,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,044,010 : 78,458,316.50 = 78,458,316.50 : x
  2. Step 2: Convert to fraction form
    51,044,010/78,458,316.50 = 78,458,316.50/x
  3. Step 3: Cross multiply
    51,044,010x = 78,458,316.50 × 78,458,316.50
  4. Step 4: Simplify right side
    51,044,010x = 6,155,707,428,014,172
  5. Step 5: Solve for x
    x = 6,155,707,428,014,172/51,044,010
  6. Step 6: Final answer
    x = 120,596,078.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.