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Finding the Third Proportional to 624,561,547.44 and 1,388,766,142.88

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Solution

The third proportional to 624,561,547.44 and 1,388,766,142.88 is: 3,088,040,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,561,547.44 : 1,388,766,142.88 = 1,388,766,142.88 : x
  2. Step 2: Convert to fraction form
    624,561,547.44/1,388,766,142.88 = 1,388,766,142.88/x
  3. Step 3: Cross multiply
    624,561,547.44x = 1,388,766,142.88 × 1,388,766,142.88
  4. Step 4: Simplify right side
    624,561,547.44x = 1,928,671,399,595,905,024
  5. Step 5: Solve for x
    x = 1,928,671,399,595,905,024/624,561,547.44
  6. Step 6: Final answer
    x = 3,088,040,574.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.