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Finding the Third Proportional to 583,702,374 and 1,275,110,148

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Solution

The third proportional to 583,702,374 and 1,275,110,148 is: 2,785,505,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,702,374 : 1,275,110,148 = 1,275,110,148 : x
  2. Step 2: Convert to fraction form
    583,702,374/1,275,110,148 = 1,275,110,148/x
  3. Step 3: Cross multiply
    583,702,374x = 1,275,110,148 × 1,275,110,148
  4. Step 4: Simplify right side
    583,702,374x = 1,625,905,889,532,581,888
  5. Step 5: Solve for x
    x = 1,625,905,889,532,581,888/583,702,374
  6. Step 6: Final answer
    x = 2,785,505,014.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.