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Finding the Third Proportional to 431,783,043 and 631,480,752

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Solution

The third proportional to 431,783,043 and 631,480,752 is: 923,537,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,783,043 : 631,480,752 = 631,480,752 : x
  2. Step 2: Convert to fraction form
    431,783,043/631,480,752 = 631,480,752/x
  3. Step 3: Cross multiply
    431,783,043x = 631,480,752 × 631,480,752
  4. Step 4: Simplify right side
    431,783,043x = 398,767,940,146,485,504
  5. Step 5: Solve for x
    x = 398,767,940,146,485,504/431,783,043
  6. Step 6: Final answer
    x = 923,537,750.29

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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.