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Finding the Third Proportional to 1,023,028,110 and 1,495,702,881

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Solution

The third proportional to 1,023,028,110 and 1,495,702,881 is: 2,186,769,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,028,110 : 1,495,702,881 = 1,495,702,881 : x
  2. Step 2: Convert to fraction form
    1,023,028,110/1,495,702,881 = 1,495,702,881/x
  3. Step 3: Cross multiply
    1,023,028,110x = 1,495,702,881 × 1,495,702,881
  4. Step 4: Simplify right side
    1,023,028,110x = 2,237,127,108,231,700,224
  5. Step 5: Solve for x
    x = 2,237,127,108,231,700,224/1,023,028,110
  6. Step 6: Final answer
    x = 2,186,769,929.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.