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Finding the Third Proportional to 644,929,996 and 972,740,032

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Solution

The third proportional to 644,929,996 and 972,740,032 is: 1,467,171,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,929,996 : 972,740,032 = 972,740,032 : x
  2. Step 2: Convert to fraction form
    644,929,996/972,740,032 = 972,740,032/x
  3. Step 3: Cross multiply
    644,929,996x = 972,740,032 × 972,740,032
  4. Step 4: Simplify right side
    644,929,996x = 946,223,169,855,361,024
  5. Step 5: Solve for x
    x = 946,223,169,855,361,024/644,929,996
  6. Step 6: Final answer
    x = 1,467,171,903.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.