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Finding the Third Proportional to 34,359,064 and 74,098,148

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Solution

The third proportional to 34,359,064 and 74,098,148 is: 159,798,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,359,064 : 74,098,148 = 74,098,148 : x
  2. Step 2: Convert to fraction form
    34,359,064/74,098,148 = 74,098,148/x
  3. Step 3: Cross multiply
    34,359,064x = 74,098,148 × 74,098,148
  4. Step 4: Simplify right side
    34,359,064x = 5,490,535,537,029,904
  5. Step 5: Solve for x
    x = 5,490,535,537,029,904/34,359,064
  6. Step 6: Final answer
    x = 159,798,751.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.