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Finding the Third Proportional to 532,829,660,532 and 1,150,583,128,089

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Solution

The third proportional to 532,829,660,532 and 1,150,583,128,089 is: 2,484,549,252,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,829,660,532 : 1,150,583,128,089 = 1,150,583,128,089 : x
  2. Step 2: Convert to fraction form
    532,829,660,532/1,150,583,128,089 = 1,150,583,128,089/x
  3. Step 3: Cross multiply
    532,829,660,532x = 1,150,583,128,089 × 1,150,583,128,089
  4. Step 4: Simplify right side
    532,829,660,532x = 1,323,841,534,643,068,232,269,824
  5. Step 5: Solve for x
    x = 1,323,841,534,643,068,232,269,824/532,829,660,532
  6. Step 6: Final answer
    x = 2,484,549,252,234.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.