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Finding the Third Proportional to 290,233,410 and 631,483,266

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Solution

The third proportional to 290,233,410 and 631,483,266 is: 1,373,966,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,233,410 : 631,483,266 = 631,483,266 : x
  2. Step 2: Convert to fraction form
    290,233,410/631,483,266 = 631,483,266/x
  3. Step 3: Cross multiply
    290,233,410x = 631,483,266 × 631,483,266
  4. Step 4: Simplify right side
    290,233,410x = 398,771,115,238,026,752
  5. Step 5: Solve for x
    x = 398,771,115,238,026,752/290,233,410
  6. Step 6: Final answer
    x = 1,373,966,957.28

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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.