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Finding the Third Proportional to 301,255,066,953 and 655,463,535,187.50

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Solution

The third proportional to 301,255,066,953 and 655,463,535,187.50 is: 1,426,141,808,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,255,066,953 : 655,463,535,187.50 = 655,463,535,187.50 : x
  2. Step 2: Convert to fraction form
    301,255,066,953/655,463,535,187.50 = 655,463,535,187.50/x
  3. Step 3: Cross multiply
    301,255,066,953x = 655,463,535,187.50 × 655,463,535,187.50
  4. Step 4: Simplify right side
    301,255,066,953x = 429,632,445,960,495,044,755,456
  5. Step 5: Solve for x
    x = 429,632,445,960,495,044,755,456/301,255,066,953
  6. Step 6: Final answer
    x = 1,426,141,808,355.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.