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Finding the Third Proportional to 407,243,097 and 863,351,671.50

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Solution

The third proportional to 407,243,097 and 863,351,671.50 is: 1,830,297,712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,243,097 : 863,351,671.50 = 863,351,671.50 : x
  2. Step 2: Convert to fraction form
    407,243,097/863,351,671.50 = 863,351,671.50/x
  3. Step 3: Cross multiply
    407,243,097x = 863,351,671.50 × 863,351,671.50
  4. Step 4: Simplify right side
    407,243,097x = 745,376,108,681,843,968
  5. Step 5: Solve for x
    x = 745,376,108,681,843,968/407,243,097
  6. Step 6: Final answer
    x = 1,830,297,712.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.