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Finding the Third Proportional to 355,755,308 and 770,892,688

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Solution

The third proportional to 355,755,308 and 770,892,688 is: 1,670,461,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,755,308 : 770,892,688 = 770,892,688 : x
  2. Step 2: Convert to fraction form
    355,755,308/770,892,688 = 770,892,688/x
  3. Step 3: Cross multiply
    355,755,308x = 770,892,688 × 770,892,688
  4. Step 4: Simplify right side
    355,755,308x = 594,275,536,411,865,344
  5. Step 5: Solve for x
    x = 594,275,536,411,865,344/355,755,308
  6. Step 6: Final answer
    x = 1,670,461,474.64

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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.