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Finding the Third Proportional to 46,690,046 and 74,588,349

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Solution

The third proportional to 46,690,046 and 74,588,349 is: 119,156,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,690,046 : 74,588,349 = 74,588,349 : x
  2. Step 2: Convert to fraction form
    46,690,046/74,588,349 = 74,588,349/x
  3. Step 3: Cross multiply
    46,690,046x = 74,588,349 × 74,588,349
  4. Step 4: Simplify right side
    46,690,046x = 5,563,421,806,545,801
  5. Step 5: Solve for x
    x = 5,563,421,806,545,801/46,690,046
  6. Step 6: Final answer
    x = 119,156,485.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.