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Finding the Third Proportional to 344,721,460 and 737,218,664

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Solution

The third proportional to 344,721,460 and 737,218,664 is: 1,576,610,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,721,460 : 737,218,664 = 737,218,664 : x
  2. Step 2: Convert to fraction form
    344,721,460/737,218,664 = 737,218,664/x
  3. Step 3: Cross multiply
    344,721,460x = 737,218,664 × 737,218,664
  4. Step 4: Simplify right side
    344,721,460x = 543,491,358,549,944,896
  5. Step 5: Solve for x
    x = 543,491,358,549,944,896/344,721,460
  6. Step 6: Final answer
    x = 1,576,610,166.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.