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Finding the Third Proportional to 1,090,996,302 and 1,663,733,264

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Solution

The third proportional to 1,090,996,302 and 1,663,733,264 is: 2,537,138,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,996,302 : 1,663,733,264 = 1,663,733,264 : x
  2. Step 2: Convert to fraction form
    1,090,996,302/1,663,733,264 = 1,663,733,264/x
  3. Step 3: Cross multiply
    1,090,996,302x = 1,663,733,264 × 1,663,733,264
  4. Step 4: Simplify right side
    1,090,996,302x = 2,768,008,373,740,093,440
  5. Step 5: Solve for x
    x = 2,768,008,373,740,093,440/1,090,996,302
  6. Step 6: Final answer
    x = 2,537,138,181.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.