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Finding the Third Proportional to 584,696,545.50 and 1,300,122,009

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Solution

The third proportional to 584,696,545.50 and 1,300,122,009 is: 2,890,930,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,696,545.50 : 1,300,122,009 = 1,300,122,009 : x
  2. Step 2: Convert to fraction form
    584,696,545.50/1,300,122,009 = 1,300,122,009/x
  3. Step 3: Cross multiply
    584,696,545.50x = 1,300,122,009 × 1,300,122,009
  4. Step 4: Simplify right side
    584,696,545.50x = 1,690,317,238,286,195,968
  5. Step 5: Solve for x
    x = 1,690,317,238,286,195,968/584,696,545.50
  6. Step 6: Final answer
    x = 2,890,930,776.48

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.