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Finding the Third Proportional to 415,907,332 and 901,167,008

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Solution

The third proportional to 415,907,332 and 901,167,008 is: 1,952,603,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,907,332 : 901,167,008 = 901,167,008 : x
  2. Step 2: Convert to fraction form
    415,907,332/901,167,008 = 901,167,008/x
  3. Step 3: Cross multiply
    415,907,332x = 901,167,008 × 901,167,008
  4. Step 4: Simplify right side
    415,907,332x = 812,101,976,307,672,064
  5. Step 5: Solve for x
    x = 812,101,976,307,672,064/415,907,332
  6. Step 6: Final answer
    x = 1,952,603,173.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.