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Finding the Third Proportional to 323,877,380 and 699,363,159

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Solution

The third proportional to 323,877,380 and 699,363,159 is: 1,510,166,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,877,380 : 699,363,159 = 699,363,159 : x
  2. Step 2: Convert to fraction form
    323,877,380/699,363,159 = 699,363,159/x
  3. Step 3: Cross multiply
    323,877,380x = 699,363,159 × 699,363,159
  4. Step 4: Simplify right side
    323,877,380x = 489,108,828,166,459,264
  5. Step 5: Solve for x
    x = 489,108,828,166,459,264/323,877,380
  6. Step 6: Final answer
    x = 1,510,166,681.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.