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Finding the Third Proportional to 976,401,097 and 1,473,681,522

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Solution

The third proportional to 976,401,097 and 1,473,681,522 is: 2,224,226,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,401,097 : 1,473,681,522 = 1,473,681,522 : x
  2. Step 2: Convert to fraction form
    976,401,097/1,473,681,522 = 1,473,681,522/x
  3. Step 3: Cross multiply
    976,401,097x = 1,473,681,522 × 1,473,681,522
  4. Step 4: Simplify right side
    976,401,097x = 2,171,737,228,284,236,544
  5. Step 5: Solve for x
    x = 2,171,737,228,284,236,544/976,401,097
  6. Step 6: Final answer
    x = 2,224,226,534.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.