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Finding the Third Proportional to 180,689,846 and 243,793,024

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Solution

The third proportional to 180,689,846 and 243,793,024 is: 328,934,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,689,846 : 243,793,024 = 243,793,024 : x
  2. Step 2: Convert to fraction form
    180,689,846/243,793,024 = 243,793,024/x
  3. Step 3: Cross multiply
    180,689,846x = 243,793,024 × 243,793,024
  4. Step 4: Simplify right side
    180,689,846x = 59,435,038,551,064,576
  5. Step 5: Solve for x
    x = 59,435,038,551,064,576/180,689,846
  6. Step 6: Final answer
    x = 328,934,026.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.