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Finding the Third Proportional to 582,625,413 and 1,248,354,913

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Solution

The third proportional to 582,625,413 and 1,248,354,913 is: 2,674,771,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,625,413 : 1,248,354,913 = 1,248,354,913 : x
  2. Step 2: Convert to fraction form
    582,625,413/1,248,354,913 = 1,248,354,913/x
  3. Step 3: Cross multiply
    582,625,413x = 1,248,354,913 × 1,248,354,913
  4. Step 4: Simplify right side
    582,625,413x = 1,558,389,988,811,237,632
  5. Step 5: Solve for x
    x = 1,558,389,988,811,237,632/582,625,413
  6. Step 6: Final answer
    x = 2,674,771,738.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.