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Finding the Third Proportional to 65,953,381 and 97,010,848

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Solution

The third proportional to 65,953,381 and 97,010,848 is: 142,693,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,953,381 : 97,010,848 = 97,010,848 : x
  2. Step 2: Convert to fraction form
    65,953,381/97,010,848 = 97,010,848/x
  3. Step 3: Cross multiply
    65,953,381x = 97,010,848 × 97,010,848
  4. Step 4: Simplify right side
    65,953,381x = 9,411,104,629,679,104
  5. Step 5: Solve for x
    x = 9,411,104,629,679,104/65,953,381
  6. Step 6: Final answer
    x = 142,693,285.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.