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Finding the Third Proportional to 610,864,648 and 1,295,027,511

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Solution

The third proportional to 610,864,648 and 1,295,027,511 is: 2,745,446,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,864,648 : 1,295,027,511 = 1,295,027,511 : x
  2. Step 2: Convert to fraction form
    610,864,648/1,295,027,511 = 1,295,027,511/x
  3. Step 3: Cross multiply
    610,864,648x = 1,295,027,511 × 1,295,027,511
  4. Step 4: Simplify right side
    610,864,648x = 1,677,096,254,246,855,168
  5. Step 5: Solve for x
    x = 1,677,096,254,246,855,168/610,864,648
  6. Step 6: Final answer
    x = 2,745,446,572.72

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.