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Finding the Third Proportional to 293,357,688 and 621,685,328

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Solution

The third proportional to 293,357,688 and 621,685,328 is: 1,317,479,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,357,688 : 621,685,328 = 621,685,328 : x
  2. Step 2: Convert to fraction form
    293,357,688/621,685,328 = 621,685,328/x
  3. Step 3: Cross multiply
    293,357,688x = 621,685,328 × 621,685,328
  4. Step 4: Simplify right side
    293,357,688x = 386,492,647,050,467,584
  5. Step 5: Solve for x
    x = 386,492,647,050,467,584/293,357,688
  6. Step 6: Final answer
    x = 1,317,479,182.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.