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Finding the Third Proportional to 1,046,300,462 and 2,242,823,764

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Solution

The third proportional to 1,046,300,462 and 2,242,823,764 is: 4,807,661,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,300,462 : 2,242,823,764 = 2,242,823,764 : x
  2. Step 2: Convert to fraction form
    1,046,300,462/2,242,823,764 = 2,242,823,764/x
  3. Step 3: Cross multiply
    1,046,300,462x = 2,242,823,764 × 2,242,823,764
  4. Step 4: Simplify right side
    1,046,300,462x = 5,030,258,436,363,127,808
  5. Step 5: Solve for x
    x = 5,030,258,436,363,127,808/1,046,300,462
  6. Step 6: Final answer
    x = 4,807,661,488.31

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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.