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Finding the Third Proportional to 623,181,728 and 1,349,776,292

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Solution

The third proportional to 623,181,728 and 1,349,776,292 is: 2,923,538,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,181,728 : 1,349,776,292 = 1,349,776,292 : x
  2. Step 2: Convert to fraction form
    623,181,728/1,349,776,292 = 1,349,776,292/x
  3. Step 3: Cross multiply
    623,181,728x = 1,349,776,292 × 1,349,776,292
  4. Step 4: Simplify right side
    623,181,728x = 1,821,896,038,445,269,248
  5. Step 5: Solve for x
    x = 1,821,896,038,445,269,248/623,181,728
  6. Step 6: Final answer
    x = 2,923,538,923.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.