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Finding the Third Proportional to 210,569,360 and 454,432,684

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Solution

The third proportional to 210,569,360 and 454,432,684 is: 980,717,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,569,360 : 454,432,684 = 454,432,684 : x
  2. Step 2: Convert to fraction form
    210,569,360/454,432,684 = 454,432,684/x
  3. Step 3: Cross multiply
    210,569,360x = 454,432,684 × 454,432,684
  4. Step 4: Simplify right side
    210,569,360x = 206,509,064,287,443,840
  5. Step 5: Solve for x
    x = 206,509,064,287,443,840/210,569,360
  6. Step 6: Final answer
    x = 980,717,537.86

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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.