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Finding the Third Proportional to 657,942,094 and 1,445,008,592

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Solution

The third proportional to 657,942,094 and 1,445,008,592 is: 3,173,607,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,942,094 : 1,445,008,592 = 1,445,008,592 : x
  2. Step 2: Convert to fraction form
    657,942,094/1,445,008,592 = 1,445,008,592/x
  3. Step 3: Cross multiply
    657,942,094x = 1,445,008,592 × 1,445,008,592
  4. Step 4: Simplify right side
    657,942,094x = 2,088,049,830,953,822,464
  5. Step 5: Solve for x
    x = 2,088,049,830,953,822,464/657,942,094
  6. Step 6: Final answer
    x = 3,173,607,297.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.