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Finding the Third Proportional to 66,702,774 and 144,539,513

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Solution

The third proportional to 66,702,774 and 144,539,513 is: 313,205,427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,702,774 : 144,539,513 = 144,539,513 : x
  2. Step 2: Convert to fraction form
    66,702,774/144,539,513 = 144,539,513/x
  3. Step 3: Cross multiply
    66,702,774x = 144,539,513 × 144,539,513
  4. Step 4: Simplify right side
    66,702,774x = 20,891,670,818,277,168
  5. Step 5: Solve for x
    x = 20,891,670,818,277,168/66,702,774
  6. Step 6: Final answer
    x = 313,205,427.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.