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Finding the Third Proportional to 3,748,325,904,014 and 7,602,046,196,916

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Solution

The third proportional to 3,748,325,904,014 and 7,602,046,196,916 is: 15,417,844,621,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748,325,904,014 : 7,602,046,196,916 = 7,602,046,196,916 : x
  2. Step 2: Convert to fraction form
    3,748,325,904,014/7,602,046,196,916 = 7,602,046,196,916/x
  3. Step 3: Cross multiply
    3,748,325,904,014x = 7,602,046,196,916 × 7,602,046,196,916
  4. Step 4: Simplify right side
    3,748,325,904,014x = 57,791,106,380,045,021,467,377,664
  5. Step 5: Solve for x
    x = 57,791,106,380,045,021,467,377,664/3,748,325,904,014
  6. Step 6: Final answer
    x = 15,417,844,621,823.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.