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Finding the Third Proportional to 384,169,348 and 841,198,088

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Solution

The third proportional to 384,169,348 and 841,198,088 is: 1,841,933,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,169,348 : 841,198,088 = 841,198,088 : x
  2. Step 2: Convert to fraction form
    384,169,348/841,198,088 = 841,198,088/x
  3. Step 3: Cross multiply
    384,169,348x = 841,198,088 × 841,198,088
  4. Step 4: Simplify right side
    384,169,348x = 707,614,223,254,855,680
  5. Step 5: Solve for x
    x = 707,614,223,254,855,680/384,169,348
  6. Step 6: Final answer
    x = 1,841,933,061.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.