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Finding the Third Proportional to 472,356,504 and 1,030,673,052

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Solution

The third proportional to 472,356,504 and 1,030,673,052 is: 2,248,909,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,356,504 : 1,030,673,052 = 1,030,673,052 : x
  2. Step 2: Convert to fraction form
    472,356,504/1,030,673,052 = 1,030,673,052/x
  3. Step 3: Cross multiply
    472,356,504x = 1,030,673,052 × 1,030,673,052
  4. Step 4: Simplify right side
    472,356,504x = 1,062,286,940,118,994,688
  5. Step 5: Solve for x
    x = 1,062,286,940,118,994,688/472,356,504
  6. Step 6: Final answer
    x = 2,248,909,311.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.