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Finding the Third Proportional to 264,394,368 and 550,247,688

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Solution

The third proportional to 264,394,368 and 550,247,688 is: 1,145,154,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,394,368 : 550,247,688 = 550,247,688 : x
  2. Step 2: Convert to fraction form
    264,394,368/550,247,688 = 550,247,688/x
  3. Step 3: Cross multiply
    264,394,368x = 550,247,688 × 550,247,688
  4. Step 4: Simplify right side
    264,394,368x = 302,772,518,149,345,344
  5. Step 5: Solve for x
    x = 302,772,518,149,345,344/264,394,368
  6. Step 6: Final answer
    x = 1,145,154,945.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.