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Finding the Third Proportional to 1,047,760,708 and 1,610,483,283

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Solution

The third proportional to 1,047,760,708 and 1,610,483,283 is: 2,475,428,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,760,708 : 1,610,483,283 = 1,610,483,283 : x
  2. Step 2: Convert to fraction form
    1,047,760,708/1,610,483,283 = 1,610,483,283/x
  3. Step 3: Cross multiply
    1,047,760,708x = 1,610,483,283 × 1,610,483,283
  4. Step 4: Simplify right side
    1,047,760,708x = 2,593,656,404,822,457,856
  5. Step 5: Solve for x
    x = 2,593,656,404,822,457,856/1,047,760,708
  6. Step 6: Final answer
    x = 2,475,428,201.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.