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Finding the Third Proportional to 8,692,024,730 and 18,828,050,296

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Solution

The third proportional to 8,692,024,730 and 18,828,050,296 is: 40,783,993,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692,024,730 : 18,828,050,296 = 18,828,050,296 : x
  2. Step 2: Convert to fraction form
    8,692,024,730/18,828,050,296 = 18,828,050,296/x
  3. Step 3: Cross multiply
    8,692,024,730x = 18,828,050,296 × 18,828,050,296
  4. Step 4: Simplify right side
    8,692,024,730x = 354,495,477,948,705,669,120
  5. Step 5: Solve for x
    x = 354,495,477,948,705,669,120/8,692,024,730
  6. Step 6: Final answer
    x = 40,783,993,253.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.