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Finding the Third Proportional to 3,829,064,130 and 8,196,020,762

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Solution

The third proportional to 3,829,064,130 and 8,196,020,762 is: 17,543,387,640.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,064,130 : 8,196,020,762 = 8,196,020,762 : x
  2. Step 2: Convert to fraction form
    3,829,064,130/8,196,020,762 = 8,196,020,762/x
  3. Step 3: Cross multiply
    3,829,064,130x = 8,196,020,762 × 8,196,020,762
  4. Step 4: Simplify right side
    3,829,064,130x = 67,174,756,331,135,057,920
  5. Step 5: Solve for x
    x = 67,174,756,331,135,057,920/3,829,064,130
  6. Step 6: Final answer
    x = 17,543,387,640.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.