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Finding the Third Proportional to 997,260,026 and 1,490,308,491

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Solution

The third proportional to 997,260,026 and 1,490,308,491 is: 2,227,121,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,260,026 : 1,490,308,491 = 1,490,308,491 : x
  2. Step 2: Convert to fraction form
    997,260,026/1,490,308,491 = 1,490,308,491/x
  3. Step 3: Cross multiply
    997,260,026x = 1,490,308,491 × 1,490,308,491
  4. Step 4: Simplify right side
    997,260,026x = 2,221,019,398,346,696,960
  5. Step 5: Solve for x
    x = 2,221,019,398,346,696,960/997,260,026
  6. Step 6: Final answer
    x = 2,227,121,653.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.