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Finding the Third Proportional to 46,355,076 and 97,876,710

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Solution

The third proportional to 46,355,076 and 97,876,710 is: 206,662,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,355,076 : 97,876,710 = 97,876,710 : x
  2. Step 2: Convert to fraction form
    46,355,076/97,876,710 = 97,876,710/x
  3. Step 3: Cross multiply
    46,355,076x = 97,876,710 × 97,876,710
  4. Step 4: Simplify right side
    46,355,076x = 9,579,850,360,424,100
  5. Step 5: Solve for x
    x = 9,579,850,360,424,100/46,355,076
  6. Step 6: Final answer
    x = 206,662,380.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.