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Finding the Third Proportional to 301,255,066,937.25 and 655,463,535,159.38

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Solution

The third proportional to 301,255,066,937.25 and 655,463,535,159.38 is: 1,426,141,808,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,255,066,937.25 : 655,463,535,159.38 = 655,463,535,159.38 : x
  2. Step 2: Convert to fraction form
    301,255,066,937.25/655,463,535,159.38 = 655,463,535,159.38/x
  3. Step 3: Cross multiply
    301,255,066,937.25x = 655,463,535,159.38 × 655,463,535,159.38
  4. Step 4: Simplify right side
    301,255,066,937.25x = 429,632,445,923,631,810,215,936
  5. Step 5: Solve for x
    x = 429,632,445,923,631,810,215,936/301,255,066,937.25
  6. Step 6: Final answer
    x = 1,426,141,808,307.32

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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.