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Finding the Third Proportional to 1,090,996,298 and 1,663,733,258

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Solution

The third proportional to 1,090,996,298 and 1,663,733,258 is: 2,537,138,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,996,298 : 1,663,733,258 = 1,663,733,258 : x
  2. Step 2: Convert to fraction form
    1,090,996,298/1,663,733,258 = 1,663,733,258/x
  3. Step 3: Cross multiply
    1,090,996,298x = 1,663,733,258 × 1,663,733,258
  4. Step 4: Simplify right side
    1,090,996,298x = 2,768,008,353,775,294,464
  5. Step 5: Solve for x
    x = 2,768,008,353,775,294,464/1,090,996,298
  6. Step 6: Final answer
    x = 2,537,138,172.56

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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.