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Finding the Third Proportional to 46,672,116 and 70,652,076

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Solution

The third proportional to 46,672,116 and 70,652,076 is: 106,952,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,672,116 : 70,652,076 = 70,652,076 : x
  2. Step 2: Convert to fraction form
    46,672,116/70,652,076 = 70,652,076/x
  3. Step 3: Cross multiply
    46,672,116x = 70,652,076 × 70,652,076
  4. Step 4: Simplify right side
    46,672,116x = 4,991,715,843,109,776
  5. Step 5: Solve for x
    x = 4,991,715,843,109,776/46,672,116
  6. Step 6: Final answer
    x = 106,952,850.46

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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.