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Finding the Third Proportional to 604,751,283,256 and 1,295,762,078,796

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Solution

The third proportional to 604,751,283,256 and 1,295,762,078,796 is: 2,776,346,923,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,751,283,256 : 1,295,762,078,796 = 1,295,762,078,796 : x
  2. Step 2: Convert to fraction form
    604,751,283,256/1,295,762,078,796 = 1,295,762,078,796/x
  3. Step 3: Cross multiply
    604,751,283,256x = 1,295,762,078,796 × 1,295,762,078,796
  4. Step 4: Simplify right side
    604,751,283,256x = 1,678,999,364,845,731,435,249,664
  5. Step 5: Solve for x
    x = 1,678,999,364,845,731,435,249,664/604,751,283,256
  6. Step 6: Final answer
    x = 2,776,346,923,657.52

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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.