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Finding the Third Proportional to 476,598,152 and 1,028,473,168

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Solution

The third proportional to 476,598,152 and 1,028,473,168 is: 2,219,389,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,598,152 : 1,028,473,168 = 1,028,473,168 : x
  2. Step 2: Convert to fraction form
    476,598,152/1,028,473,168 = 1,028,473,168/x
  3. Step 3: Cross multiply
    476,598,152x = 1,028,473,168 × 1,028,473,168
  4. Step 4: Simplify right side
    476,598,152x = 1,057,757,057,295,956,224
  5. Step 5: Solve for x
    x = 1,057,757,057,295,956,224/476,598,152
  6. Step 6: Final answer
    x = 2,219,389,758.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.