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Finding the Third Proportional to 442,473,464 and 637,397,940

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Solution

The third proportional to 442,473,464 and 637,397,940 is: 918,193,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,473,464 : 637,397,940 = 637,397,940 : x
  2. Step 2: Convert to fraction form
    442,473,464/637,397,940 = 637,397,940/x
  3. Step 3: Cross multiply
    442,473,464x = 637,397,940 × 637,397,940
  4. Step 4: Simplify right side
    442,473,464x = 406,276,133,916,243,584
  5. Step 5: Solve for x
    x = 406,276,133,916,243,584/442,473,464
  6. Step 6: Final answer
    x = 918,193,218.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.