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Finding the Third Proportional to 604,751,283,246 and 1,295,762,078,778

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Solution

The third proportional to 604,751,283,246 and 1,295,762,078,778 is: 2,776,346,923,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,751,283,246 : 1,295,762,078,778 = 1,295,762,078,778 : x
  2. Step 2: Convert to fraction form
    604,751,283,246/1,295,762,078,778 = 1,295,762,078,778/x
  3. Step 3: Cross multiply
    604,751,283,246x = 1,295,762,078,778 × 1,295,762,078,778
  4. Step 4: Simplify right side
    604,751,283,246x = 1,678,999,364,799,083,795,447,808
  5. Step 5: Solve for x
    x = 1,678,999,364,799,083,795,447,808/604,751,283,246
  6. Step 6: Final answer
    x = 2,776,346,923,626.29

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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.