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Finding the Third Proportional to 338,411,236 and 456,596,214

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Solution

The third proportional to 338,411,236 and 456,596,214 is: 616,055,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,411,236 : 456,596,214 = 456,596,214 : x
  2. Step 2: Convert to fraction form
    338,411,236/456,596,214 = 456,596,214/x
  3. Step 3: Cross multiply
    338,411,236x = 456,596,214 × 456,596,214
  4. Step 4: Simplify right side
    338,411,236x = 208,480,102,639,133,792
  5. Step 5: Solve for x
    x = 208,480,102,639,133,792/338,411,236
  6. Step 6: Final answer
    x = 616,055,498.34

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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.