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Finding the Third Proportional to 237,223,954,911 and 361,386,184,803

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Solution

The third proportional to 237,223,954,911 and 361,386,184,803 is: 550,534,513,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,223,954,911 : 361,386,184,803 = 361,386,184,803 : x
  2. Step 2: Convert to fraction form
    237,223,954,911/361,386,184,803 = 361,386,184,803/x
  3. Step 3: Cross multiply
    237,223,954,911x = 361,386,184,803 × 361,386,184,803
  4. Step 4: Simplify right side
    237,223,954,911x = 130,599,974,566,468,060,708,864
  5. Step 5: Solve for x
    x = 130,599,974,566,468,060,708,864/237,223,954,911
  6. Step 6: Final answer
    x = 550,534,513,327.15

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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.