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Finding the Third Proportional to 46,539,464 and 100,512,784

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Solution

The third proportional to 46,539,464 and 100,512,784 is: 217,080,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,539,464 : 100,512,784 = 100,512,784 : x
  2. Step 2: Convert to fraction form
    46,539,464/100,512,784 = 100,512,784/x
  3. Step 3: Cross multiply
    46,539,464x = 100,512,784 × 100,512,784
  4. Step 4: Simplify right side
    46,539,464x = 10,102,819,747,430,656
  5. Step 5: Solve for x
    x = 10,102,819,747,430,656/46,539,464
  6. Step 6: Final answer
    x = 217,080,706.98

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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.