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Finding the Third Proportional to 46,995,146 and 71,843,464

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Solution

The third proportional to 46,995,146 and 71,843,464 is: 109,830,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,995,146 : 71,843,464 = 71,843,464 : x
  2. Step 2: Convert to fraction form
    46,995,146/71,843,464 = 71,843,464/x
  3. Step 3: Cross multiply
    46,995,146x = 71,843,464 × 71,843,464
  4. Step 4: Simplify right side
    46,995,146x = 5,161,483,319,519,296
  5. Step 5: Solve for x
    x = 5,161,483,319,519,296/46,995,146
  6. Step 6: Final answer
    x = 109,830,136.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.