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Finding the Third Proportional to 78,923,679,615 and 186,245,758,714.50

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Solution

The third proportional to 78,923,679,615 and 186,245,758,714.50 is: 439,506,657,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,923,679,615 : 186,245,758,714.50 = 186,245,758,714.50 : x
  2. Step 2: Convert to fraction form
    78,923,679,615/186,245,758,714.50 = 186,245,758,714.50/x
  3. Step 3: Cross multiply
    78,923,679,615x = 186,245,758,714.50 × 186,245,758,714.50
  4. Step 4: Simplify right side
    78,923,679,615x = 34,687,482,639,139,752,378,368
  5. Step 5: Solve for x
    x = 34,687,482,639,139,752,378,368/78,923,679,615
  6. Step 6: Final answer
    x = 439,506,657,676.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.