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Finding the Third Proportional to 56,438,490 and 82,480,005

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Solution

The third proportional to 56,438,490 and 82,480,005 is: 120,537,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,438,490 : 82,480,005 = 82,480,005 : x
  2. Step 2: Convert to fraction form
    56,438,490/82,480,005 = 82,480,005/x
  3. Step 3: Cross multiply
    56,438,490x = 82,480,005 × 82,480,005
  4. Step 4: Simplify right side
    56,438,490x = 6,802,951,224,800,025
  5. Step 5: Solve for x
    x = 6,802,951,224,800,025/56,438,490
  6. Step 6: Final answer
    x = 120,537,442.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.