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Finding the Third Proportional to 5,977,051,641 and 13,080,048,795

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Solution

The third proportional to 5,977,051,641 and 13,080,048,795 is: 28,624,092,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977,051,641 : 13,080,048,795 = 13,080,048,795 : x
  2. Step 2: Convert to fraction form
    5,977,051,641/13,080,048,795 = 13,080,048,795/x
  3. Step 3: Cross multiply
    5,977,051,641x = 13,080,048,795 × 13,080,048,795
  4. Step 4: Simplify right side
    5,977,051,641x = 171,087,676,479,580,962,816
  5. Step 5: Solve for x
    x = 171,087,676,479,580,962,816/5,977,051,641
  6. Step 6: Final answer
    x = 28,624,092,070.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.