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Finding the Third Proportional to 972,952,338 and 2,098,959,441

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Solution

The third proportional to 972,952,338 and 2,098,959,441 is: 4,528,105,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,952,338 : 2,098,959,441 = 2,098,959,441 : x
  2. Step 2: Convert to fraction form
    972,952,338/2,098,959,441 = 2,098,959,441/x
  3. Step 3: Cross multiply
    972,952,338x = 2,098,959,441 × 2,098,959,441
  4. Step 4: Simplify right side
    972,952,338x = 4,405,630,734,963,032,576
  5. Step 5: Solve for x
    x = 4,405,630,734,963,032,576/972,952,338
  6. Step 6: Final answer
    x = 4,528,105,399.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.