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Finding the Third Proportional to 254,684,936 and 545,709,712

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Solution

The third proportional to 254,684,936 and 545,709,712 is: 1,169,284,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,684,936 : 545,709,712 = 545,709,712 : x
  2. Step 2: Convert to fraction form
    254,684,936/545,709,712 = 545,709,712/x
  3. Step 3: Cross multiply
    254,684,936x = 545,709,712 × 545,709,712
  4. Step 4: Simplify right side
    254,684,936x = 297,799,089,771,122,944
  5. Step 5: Solve for x
    x = 297,799,089,771,122,944/254,684,936
  6. Step 6: Final answer
    x = 1,169,284,271.18

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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.