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Finding the Third Proportional to 597,152,228,024 and 1,316,023,095,891

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Solution

The third proportional to 597,152,228,024 and 1,316,023,095,891 is: 2,900,293,606,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,152,228,024 : 1,316,023,095,891 = 1,316,023,095,891 : x
  2. Step 2: Convert to fraction form
    597,152,228,024/1,316,023,095,891 = 1,316,023,095,891/x
  3. Step 3: Cross multiply
    597,152,228,024x = 1,316,023,095,891 × 1,316,023,095,891
  4. Step 4: Simplify right side
    597,152,228,024x = 1,731,916,788,918,532,297,457,664
  5. Step 5: Solve for x
    x = 1,731,916,788,918,532,297,457,664/597,152,228,024
  6. Step 6: Final answer
    x = 2,900,293,606,287.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.