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Finding the Third Proportional to 618,101,942 and 1,343,554,802

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Solution

The third proportional to 618,101,942 and 1,343,554,802 is: 2,920,455,969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,101,942 : 1,343,554,802 = 1,343,554,802 : x
  2. Step 2: Convert to fraction form
    618,101,942/1,343,554,802 = 1,343,554,802/x
  3. Step 3: Cross multiply
    618,101,942x = 1,343,554,802 × 1,343,554,802
  4. Step 4: Simplify right side
    618,101,942x = 1,805,139,505,977,259,264
  5. Step 5: Solve for x
    x = 1,805,139,505,977,259,264/618,101,942
  6. Step 6: Final answer
    x = 2,920,455,969.02

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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.