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Finding the Third Proportional to 2,576,160,616 and 5,658,415,388

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Solution

The third proportional to 2,576,160,616 and 5,658,415,388 is: 12,428,442,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576,160,616 : 5,658,415,388 = 5,658,415,388 : x
  2. Step 2: Convert to fraction form
    2,576,160,616/5,658,415,388 = 5,658,415,388/x
  3. Step 3: Cross multiply
    2,576,160,616x = 5,658,415,388 × 5,658,415,388
  4. Step 4: Simplify right side
    2,576,160,616x = 32,017,664,703,155,191,808
  5. Step 5: Solve for x
    x = 32,017,664,703,155,191,808/2,576,160,616
  6. Step 6: Final answer
    x = 12,428,442,739.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.