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Finding the Third Proportional to 117,537,584,244 and 240,008,594,340

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Solution

The third proportional to 117,537,584,244 and 240,008,594,340 is: 490,091,111,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,537,584,244 : 240,008,594,340 = 240,008,594,340 : x
  2. Step 2: Convert to fraction form
    117,537,584,244/240,008,594,340 = 240,008,594,340/x
  3. Step 3: Cross multiply
    117,537,584,244x = 240,008,594,340 × 240,008,594,340
  4. Step 4: Simplify right side
    117,537,584,244x = 57,604,125,357,062,676,807,680
  5. Step 5: Solve for x
    x = 57,604,125,357,062,676,807,680/117,537,584,244
  6. Step 6: Final answer
    x = 490,091,111,941.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.