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Finding the Third Proportional to 14,136,243 and 30,775,278

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Solution

The third proportional to 14,136,243 and 30,775,278 is: 66,999,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136,243 : 30,775,278 = 30,775,278 : x
  2. Step 2: Convert to fraction form
    14,136,243/30,775,278 = 30,775,278/x
  3. Step 3: Cross multiply
    14,136,243x = 30,775,278 × 30,775,278
  4. Step 4: Simplify right side
    14,136,243x = 947,117,735,977,284
  5. Step 5: Solve for x
    x = 947,117,735,977,284/14,136,243
  6. Step 6: Final answer
    x = 66,999,254.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.