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Finding the Third Proportional to 254,663,430 and 545,630,916

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Solution

The third proportional to 254,663,430 and 545,630,916 is: 1,169,045,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,663,430 : 545,630,916 = 545,630,916 : x
  2. Step 2: Convert to fraction form
    254,663,430/545,630,916 = 545,630,916/x
  3. Step 3: Cross multiply
    254,663,430x = 545,630,916 × 545,630,916
  4. Step 4: Simplify right side
    254,663,430x = 297,713,096,494,999,040
  5. Step 5: Solve for x
    x = 297,713,096,494,999,040/254,663,430
  6. Step 6: Final answer
    x = 1,169,045,341.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.