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Finding the Third Proportional to 6,507,535,728 and 9,164,044,284

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Solution

The third proportional to 6,507,535,728 and 9,164,044,284 is: 12,904,993,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507,535,728 : 9,164,044,284 = 9,164,044,284 : x
  2. Step 2: Convert to fraction form
    6,507,535,728/9,164,044,284 = 9,164,044,284/x
  3. Step 3: Cross multiply
    6,507,535,728x = 9,164,044,284 × 9,164,044,284
  4. Step 4: Simplify right side
    6,507,535,728x = 83,979,707,639,113,072,640
  5. Step 5: Solve for x
    x = 83,979,707,639,113,072,640/6,507,535,728
  6. Step 6: Final answer
    x = 12,904,993,710.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.