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Finding the Third Proportional to 1,455,460,550 and 2,376,384,321

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Solution

The third proportional to 1,455,460,550 and 2,376,384,321 is: 3,880,010,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455,460,550 : 2,376,384,321 = 2,376,384,321 : x
  2. Step 2: Convert to fraction form
    1,455,460,550/2,376,384,321 = 2,376,384,321/x
  3. Step 3: Cross multiply
    1,455,460,550x = 2,376,384,321 × 2,376,384,321
  4. Step 4: Simplify right side
    1,455,460,550x = 5,647,202,441,094,631,424
  5. Step 5: Solve for x
    x = 5,647,202,441,094,631,424/1,455,460,550
  6. Step 6: Final answer
    x = 3,880,010,654.42

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.