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Finding the Third Proportional to 53,849,340 and 83,539,690

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Solution

The third proportional to 53,849,340 and 83,539,690 is: 129,600,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,849,340 : 83,539,690 = 83,539,690 : x
  2. Step 2: Convert to fraction form
    53,849,340/83,539,690 = 83,539,690/x
  3. Step 3: Cross multiply
    53,849,340x = 83,539,690 × 83,539,690
  4. Step 4: Simplify right side
    53,849,340x = 6,978,879,805,296,100
  5. Step 5: Solve for x
    x = 6,978,879,805,296,100/53,849,340
  6. Step 6: Final answer
    x = 129,600,099.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.