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Finding the Third Proportional to 64,669,706 and 97,675,971

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Solution

The third proportional to 64,669,706 and 97,675,971 is: 147,528,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,669,706 : 97,675,971 = 97,675,971 : x
  2. Step 2: Convert to fraction form
    64,669,706/97,675,971 = 97,675,971/x
  3. Step 3: Cross multiply
    64,669,706x = 97,675,971 × 97,675,971
  4. Step 4: Simplify right side
    64,669,706x = 9,540,595,310,792,840
  5. Step 5: Solve for x
    x = 9,540,595,310,792,840/64,669,706
  6. Step 6: Final answer
    x = 147,528,045.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.