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Finding the Third Proportional to 265,492,221,378 and 583,939,980,831

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Solution

The third proportional to 265,492,221,378 and 583,939,980,831 is: 1,284,353,641,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,492,221,378 : 583,939,980,831 = 583,939,980,831 : x
  2. Step 2: Convert to fraction form
    265,492,221,378/583,939,980,831 = 583,939,980,831/x
  3. Step 3: Cross multiply
    265,492,221,378x = 583,939,980,831 × 583,939,980,831
  4. Step 4: Simplify right side
    265,492,221,378x = 340,985,901,212,908,660,981,760
  5. Step 5: Solve for x
    x = 340,985,901,212,908,660,981,760/265,492,221,378
  6. Step 6: Final answer
    x = 1,284,353,641,108.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.