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Finding the Third Proportional to 61,880,647.88 and 131,137,681.69

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Solution

The third proportional to 61,880,647.88 and 131,137,681.69 is: 277,907,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,880,647.88 : 131,137,681.69 = 131,137,681.69 : x
  2. Step 2: Convert to fraction form
    61,880,647.88/131,137,681.69 = 131,137,681.69/x
  3. Step 3: Cross multiply
    61,880,647.88x = 131,137,681.69 × 131,137,681.69
  4. Step 4: Simplify right side
    61,880,647.88x = 17,197,091,558,372,072
  5. Step 5: Solve for x
    x = 17,197,091,558,372,072/61,880,647.88
  6. Step 6: Final answer
    x = 277,907,425.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.