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Finding the Third Proportional to 340,224,368 and 742,027,040

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Solution

The third proportional to 340,224,368 and 742,027,040 is: 1,618,355,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,224,368 : 742,027,040 = 742,027,040 : x
  2. Step 2: Convert to fraction form
    340,224,368/742,027,040 = 742,027,040/x
  3. Step 3: Cross multiply
    340,224,368x = 742,027,040 × 742,027,040
  4. Step 4: Simplify right side
    340,224,368x = 550,604,128,091,161,600
  5. Step 5: Solve for x
    x = 550,604,128,091,161,600/340,224,368
  6. Step 6: Final answer
    x = 1,618,355,943.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.