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Finding the Third Proportional to 571,018,638 and 1,250,844,900

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Solution

The third proportional to 571,018,638 and 1,250,844,900 is: 2,740,038,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,018,638 : 1,250,844,900 = 1,250,844,900 : x
  2. Step 2: Convert to fraction form
    571,018,638/1,250,844,900 = 1,250,844,900/x
  3. Step 3: Cross multiply
    571,018,638x = 1,250,844,900 × 1,250,844,900
  4. Step 4: Simplify right side
    571,018,638x = 1,564,612,963,856,009,984
  5. Step 5: Solve for x
    x = 1,564,612,963,856,009,984/571,018,638
  6. Step 6: Final answer
    x = 2,740,038,345.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.