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Finding the Third Proportional to 422,083,657.13 and 930,038,897.25

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Solution

The third proportional to 422,083,657.13 and 930,038,897.25 is: 2,049,291,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,083,657.13 : 930,038,897.25 = 930,038,897.25 : x
  2. Step 2: Convert to fraction form
    422,083,657.13/930,038,897.25 = 930,038,897.25/x
  3. Step 3: Cross multiply
    422,083,657.13x = 930,038,897.25 × 930,038,897.25
  4. Step 4: Simplify right side
    422,083,657.13x = 864,972,350,397,996,032
  5. Step 5: Solve for x
    x = 864,972,350,397,996,032/422,083,657.13
  6. Step 6: Final answer
    x = 2,049,291,262.04

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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.