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Finding the Third Proportional to 237,223,954,597 and 361,386,184,446

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Solution

The third proportional to 237,223,954,597 and 361,386,184,446 is: 550,534,512,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,223,954,597 : 361,386,184,446 = 361,386,184,446 : x
  2. Step 2: Convert to fraction form
    237,223,954,597/361,386,184,446 = 361,386,184,446/x
  3. Step 3: Cross multiply
    237,223,954,597x = 361,386,184,446 × 361,386,184,446
  4. Step 4: Simplify right side
    237,223,954,597x = 130,599,974,308,438,337,388,544
  5. Step 5: Solve for x
    x = 130,599,974,308,438,337,388,544/237,223,954,597
  6. Step 6: Final answer
    x = 550,534,512,968.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.