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Finding the Third Proportional to 265,492,221,373.50 and 583,939,980,822

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Solution

The third proportional to 265,492,221,373.50 and 583,939,980,822 is: 1,284,353,641,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,492,221,373.50 : 583,939,980,822 = 583,939,980,822 : x
  2. Step 2: Convert to fraction form
    265,492,221,373.50/583,939,980,822 = 583,939,980,822/x
  3. Step 3: Cross multiply
    265,492,221,373.50x = 583,939,980,822 × 583,939,980,822
  4. Step 4: Simplify right side
    265,492,221,373.50x = 340,985,901,202,397,735,157,760
  5. Step 5: Solve for x
    x = 340,985,901,202,397,735,157,760/265,492,221,373.50
  6. Step 6: Final answer
    x = 1,284,353,641,091.02

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Why These Related Problems?

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