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Finding the Third Proportional to 638,214,286 and 1,397,497,490

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Solution

The third proportional to 638,214,286 and 1,397,497,490 is: 3,060,099,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,214,286 : 1,397,497,490 = 1,397,497,490 : x
  2. Step 2: Convert to fraction form
    638,214,286/1,397,497,490 = 1,397,497,490/x
  3. Step 3: Cross multiply
    638,214,286x = 1,397,497,490 × 1,397,497,490
  4. Step 4: Simplify right side
    638,214,286x = 1,952,999,234,556,300,032
  5. Step 5: Solve for x
    x = 1,952,999,234,556,300,032/638,214,286
  6. Step 6: Final answer
    x = 3,060,099,526.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.