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Finding the Third Proportional to 1,008,066,688 and 1,581,357,751

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Solution

The third proportional to 1,008,066,688 and 1,581,357,751 is: 2,480,681,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,066,688 : 1,581,357,751 = 1,581,357,751 : x
  2. Step 2: Convert to fraction form
    1,008,066,688/1,581,357,751 = 1,581,357,751/x
  3. Step 3: Cross multiply
    1,008,066,688x = 1,581,357,751 × 1,581,357,751
  4. Step 4: Simplify right side
    1,008,066,688x = 2,500,692,336,647,777,792
  5. Step 5: Solve for x
    x = 2,500,692,336,647,777,792/1,008,066,688
  6. Step 6: Final answer
    x = 2,480,681,453.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.