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Finding the Third Proportional to 117,531,720 and 253,948,752

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Solution

The third proportional to 117,531,720 and 253,948,752 is: 548,702,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,531,720 : 253,948,752 = 253,948,752 : x
  2. Step 2: Convert to fraction form
    117,531,720/253,948,752 = 253,948,752/x
  3. Step 3: Cross multiply
    117,531,720x = 253,948,752 × 253,948,752
  4. Step 4: Simplify right side
    117,531,720x = 64,489,968,642,357,504
  5. Step 5: Solve for x
    x = 64,489,968,642,357,504/117,531,720
  6. Step 6: Final answer
    x = 548,702,670.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.