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Finding the Third Proportional to 407,381,010 and 833,587,710

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Solution

The third proportional to 407,381,010 and 833,587,710 is: 1,705,696,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,381,010 : 833,587,710 = 833,587,710 : x
  2. Step 2: Convert to fraction form
    407,381,010/833,587,710 = 833,587,710/x
  3. Step 3: Cross multiply
    407,381,010x = 833,587,710 × 833,587,710
  4. Step 4: Simplify right side
    407,381,010x = 694,868,470,263,044,096
  5. Step 5: Solve for x
    x = 694,868,470,263,044,096/407,381,010
  6. Step 6: Final answer
    x = 1,705,696,763.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.