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Finding the Third Proportional to 36,262,677 and 78,268,045.50

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Solution

The third proportional to 36,262,677 and 78,268,045.50 is: 168,930,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,262,677 : 78,268,045.50 = 78,268,045.50 : x
  2. Step 2: Convert to fraction form
    36,262,677/78,268,045.50 = 78,268,045.50/x
  3. Step 3: Cross multiply
    36,262,677x = 78,268,045.50 × 78,268,045.50
  4. Step 4: Simplify right side
    36,262,677x = 6,125,886,946,390,070
  5. Step 5: Solve for x
    x = 6,125,886,946,390,070/36,262,677
  6. Step 6: Final answer
    x = 168,930,907.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.