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Finding the Third Proportional to 338,411,292 and 456,596,296

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Solution

The third proportional to 338,411,292 and 456,596,296 is: 616,055,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,411,292 : 456,596,296 = 456,596,296 : x
  2. Step 2: Convert to fraction form
    338,411,292/456,596,296 = 456,596,296/x
  3. Step 3: Cross multiply
    338,411,292x = 456,596,296 × 456,596,296
  4. Step 4: Simplify right side
    338,411,292x = 208,480,177,520,919,616
  5. Step 5: Solve for x
    x = 208,480,177,520,919,616/338,411,292
  6. Step 6: Final answer
    x = 616,055,617.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.