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Finding the Third Proportional to 3,829,064,128 and 8,196,020,758

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Solution

The third proportional to 3,829,064,128 and 8,196,020,758 is: 17,543,387,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,064,128 : 8,196,020,758 = 8,196,020,758 : x
  2. Step 2: Convert to fraction form
    3,829,064,128/8,196,020,758 = 8,196,020,758/x
  3. Step 3: Cross multiply
    3,829,064,128x = 8,196,020,758 × 8,196,020,758
  4. Step 4: Simplify right side
    3,829,064,128x = 67,174,756,265,566,896,128
  5. Step 5: Solve for x
    x = 67,174,756,265,566,896,128/3,829,064,128
  6. Step 6: Final answer
    x = 17,543,387,632.07

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