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Finding the Third Proportional to 344,602,240 and 737,643,616

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Solution

The third proportional to 344,602,240 and 737,643,616 is: 1,578,974,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,602,240 : 737,643,616 = 737,643,616 : x
  2. Step 2: Convert to fraction form
    344,602,240/737,643,616 = 737,643,616/x
  3. Step 3: Cross multiply
    344,602,240x = 737,643,616 × 737,643,616
  4. Step 4: Simplify right side
    344,602,240x = 544,118,104,225,555,456
  5. Step 5: Solve for x
    x = 544,118,104,225,555,456/344,602,240
  6. Step 6: Final answer
    x = 1,578,974,368.32

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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.