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Finding the Third Proportional to 46,525,732 and 77,273,328

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Solution

The third proportional to 46,525,732 and 77,273,328 is: 128,341,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,525,732 : 77,273,328 = 77,273,328 : x
  2. Step 2: Convert to fraction form
    46,525,732/77,273,328 = 77,273,328/x
  3. Step 3: Cross multiply
    46,525,732x = 77,273,328 × 77,273,328
  4. Step 4: Simplify right side
    46,525,732x = 5,971,167,220,195,584
  5. Step 5: Solve for x
    x = 5,971,167,220,195,584/46,525,732
  6. Step 6: Final answer
    x = 128,341,177.31

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.