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Finding the Third Proportional to 614,737,832 and 944,312,503.50

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Solution

The third proportional to 614,737,832 and 944,312,503.50 is: 1,450,579,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,737,832 : 944,312,503.50 = 944,312,503.50 : x
  2. Step 2: Convert to fraction form
    614,737,832/944,312,503.50 = 944,312,503.50/x
  3. Step 3: Cross multiply
    614,737,832x = 944,312,503.50 × 944,312,503.50
  4. Step 4: Simplify right side
    614,737,832x = 891,726,104,266,437,504
  5. Step 5: Solve for x
    x = 891,726,104,266,437,504/614,737,832
  6. Step 6: Final answer
    x = 1,450,579,511.86

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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.