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Finding the Third Proportional to 889,129,566,113.64 and 1,199,644,531,498.10

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Solution

The third proportional to 889,129,566,113.64 and 1,199,644,531,498.10 is: 1,618,602,121,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,129,566,113.64 : 1,199,644,531,498.10 = 1,199,644,531,498.10 : x
  2. Step 2: Convert to fraction form
    889,129,566,113.64/1,199,644,531,498.10 = 1,199,644,531,498.10/x
  3. Step 3: Cross multiply
    889,129,566,113.64x = 1,199,644,531,498.10 × 1,199,644,531,498.10
  4. Step 4: Simplify right side
    889,129,566,113.64x = 1,439,147,001,953,296,033,251,328
  5. Step 5: Solve for x
    x = 1,439,147,001,953,296,033,251,328/889,129,566,113.64
  6. Step 6: Final answer
    x = 1,618,602,121,447.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.