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Finding the Third Proportional to 1,046,300,464 and 2,242,823,768

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Solution

The third proportional to 1,046,300,464 and 2,242,823,768 is: 4,807,661,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,300,464 : 2,242,823,768 = 2,242,823,768 : x
  2. Step 2: Convert to fraction form
    1,046,300,464/2,242,823,768 = 2,242,823,768/x
  3. Step 3: Cross multiply
    1,046,300,464x = 2,242,823,768 × 2,242,823,768
  4. Step 4: Simplify right side
    1,046,300,464x = 5,030,258,454,305,718,272
  5. Step 5: Solve for x
    x = 5,030,258,454,305,718,272/1,046,300,464
  6. Step 6: Final answer
    x = 4,807,661,496.27

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