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Finding the Third Proportional to 432,686,763 and 930,981,897

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Solution

The third proportional to 432,686,763 and 930,981,897 is: 2,003,128,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,686,763 : 930,981,897 = 930,981,897 : x
  2. Step 2: Convert to fraction form
    432,686,763/930,981,897 = 930,981,897/x
  3. Step 3: Cross multiply
    432,686,763x = 930,981,897 × 930,981,897
  4. Step 4: Simplify right side
    432,686,763x = 866,727,292,541,718,656
  5. Step 5: Solve for x
    x = 866,727,292,541,718,656/432,686,763
  6. Step 6: Final answer
    x = 2,003,128,744.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.