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Finding the Third Proportional to 355,723,584 and 770,818,710

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Solution

The third proportional to 355,723,584 and 770,818,710 is: 1,670,289,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,723,584 : 770,818,710 = 770,818,710 : x
  2. Step 2: Convert to fraction form
    355,723,584/770,818,710 = 770,818,710/x
  3. Step 3: Cross multiply
    355,723,584x = 770,818,710 × 770,818,710
  4. Step 4: Simplify right side
    355,723,584x = 594,161,483,686,064,128
  5. Step 5: Solve for x
    x = 594,161,483,686,064,128/355,723,584
  6. Step 6: Final answer
    x = 1,670,289,827.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.