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Finding the Third Proportional to 657,201,568.36 and 939,737,199.45

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Solution

The third proportional to 657,201,568.36 and 939,737,199.45 is: 1,343,736,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,201,568.36 : 939,737,199.45 = 939,737,199.45 : x
  2. Step 2: Convert to fraction form
    657,201,568.36/939,737,199.45 = 939,737,199.45/x
  3. Step 3: Cross multiply
    657,201,568.36x = 939,737,199.45 × 939,737,199.45
  4. Step 4: Simplify right side
    657,201,568.36x = 883,106,004,021,389,568
  5. Step 5: Solve for x
    x = 883,106,004,021,389,568/657,201,568.36
  6. Step 6: Final answer
    x = 1,343,736,908.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.