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Finding the Third Proportional to 1,046,300,460 and 2,242,823,760

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Solution

The third proportional to 1,046,300,460 and 2,242,823,760 is: 4,807,661,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,300,460 : 2,242,823,760 = 2,242,823,760 : x
  2. Step 2: Convert to fraction form
    1,046,300,460/2,242,823,760 = 2,242,823,760/x
  3. Step 3: Cross multiply
    1,046,300,460x = 2,242,823,760 × 2,242,823,760
  4. Step 4: Simplify right side
    1,046,300,460x = 5,030,258,418,420,537,344
  5. Step 5: Solve for x
    x = 5,030,258,418,420,537,344/1,046,300,460
  6. Step 6: Final answer
    x = 4,807,661,480.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.