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Finding the Third Proportional to 497,084,018 and 745,626,099

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Solution

The third proportional to 497,084,018 and 745,626,099 is: 1,118,439,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,084,018 : 745,626,099 = 745,626,099 : x
  2. Step 2: Convert to fraction form
    497,084,018/745,626,099 = 745,626,099/x
  3. Step 3: Cross multiply
    497,084,018x = 745,626,099 × 745,626,099
  4. Step 4: Simplify right side
    497,084,018x = 555,958,279,509,957,824
  5. Step 5: Solve for x
    x = 555,958,279,509,957,824/497,084,018
  6. Step 6: Final answer
    x = 1,118,439,256.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.