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Finding the Third Proportional to 475,632,265 and 1,044,798,145

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Solution

The third proportional to 475,632,265 and 1,044,798,145 is: 2,295,057,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,632,265 : 1,044,798,145 = 1,044,798,145 : x
  2. Step 2: Convert to fraction form
    475,632,265/1,044,798,145 = 1,044,798,145/x
  3. Step 3: Cross multiply
    475,632,265x = 1,044,798,145 × 1,044,798,145
  4. Step 4: Simplify right side
    475,632,265x = 1,091,603,163,795,441,024
  5. Step 5: Solve for x
    x = 1,091,603,163,795,441,024/475,632,265
  6. Step 6: Final answer
    x = 2,295,057,009.63

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Why These Related Problems?

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