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Finding the Third Proportional to 46,612,912 and 70,566,720

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Solution

The third proportional to 46,612,912 and 70,566,720 is: 106,830,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,612,912 : 70,566,720 = 70,566,720 : x
  2. Step 2: Convert to fraction form
    46,612,912/70,566,720 = 70,566,720/x
  3. Step 3: Cross multiply
    46,612,912x = 70,566,720 × 70,566,720
  4. Step 4: Simplify right side
    46,612,912x = 4,979,661,971,558,400
  5. Step 5: Solve for x
    x = 4,979,661,971,558,400/46,612,912
  6. Step 6: Final answer
    x = 106,830,098.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.