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Finding the Third Proportional to 604,751,302,310 and 1,295,762,115,364

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Solution

The third proportional to 604,751,302,310 and 1,295,762,115,364 is: 2,776,346,992,886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,751,302,310 : 1,295,762,115,364 = 1,295,762,115,364 : x
  2. Step 2: Convert to fraction form
    604,751,302,310/1,295,762,115,364 = 1,295,762,115,364/x
  3. Step 3: Cross multiply
    604,751,302,310x = 1,295,762,115,364 × 1,295,762,115,364
  4. Step 4: Simplify right side
    604,751,302,310x = 1,678,999,459,612,588,167,397,376
  5. Step 5: Solve for x
    x = 1,678,999,459,612,588,167,397,376/604,751,302,310
  6. Step 6: Final answer
    x = 2,776,346,992,886.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.