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Finding the Third Proportional to 265,254,970 and 570,820,736

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Solution

The third proportional to 265,254,970 and 570,820,736 is: 1,228,389,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,254,970 : 570,820,736 = 570,820,736 : x
  2. Step 2: Convert to fraction form
    265,254,970/570,820,736 = 570,820,736/x
  3. Step 3: Cross multiply
    265,254,970x = 570,820,736 × 570,820,736
  4. Step 4: Simplify right side
    265,254,970x = 325,836,312,647,581,696
  5. Step 5: Solve for x
    x = 325,836,312,647,581,696/265,254,970
  6. Step 6: Final answer
    x = 1,228,389,095.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.