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Finding the Third Proportional to 45,681,576 and 98,644,002

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Solution

The third proportional to 45,681,576 and 98,644,002 is: 213,010,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,681,576 : 98,644,002 = 98,644,002 : x
  2. Step 2: Convert to fraction form
    45,681,576/98,644,002 = 98,644,002/x
  3. Step 3: Cross multiply
    45,681,576x = 98,644,002 × 98,644,002
  4. Step 4: Simplify right side
    45,681,576x = 9,730,639,130,576,004
  5. Step 5: Solve for x
    x = 9,730,639,130,576,004/45,681,576
  6. Step 6: Final answer
    x = 213,010,145.07

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Why These Related Problems?

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