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Finding the Third Proportional to 117,537,584,240 and 240,008,594,332

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Solution

The third proportional to 117,537,584,240 and 240,008,594,332 is: 490,091,111,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,537,584,240 : 240,008,594,332 = 240,008,594,332 : x
  2. Step 2: Convert to fraction form
    117,537,584,240/240,008,594,332 = 240,008,594,332/x
  3. Step 3: Cross multiply
    117,537,584,240x = 240,008,594,332 × 240,008,594,332
  4. Step 4: Simplify right side
    117,537,584,240x = 57,604,125,353,222,539,837,440
  5. Step 5: Solve for x
    x = 57,604,125,353,222,539,837,440/117,537,584,240
  6. Step 6: Final answer
    x = 490,091,111,925.53

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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.