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Finding the Third Proportional to 210,569,352 and 454,432,656

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Solution

The third proportional to 210,569,352 and 454,432,656 is: 980,717,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,569,352 : 454,432,656 = 454,432,656 : x
  2. Step 2: Convert to fraction form
    210,569,352/454,432,656 = 454,432,656/x
  3. Step 3: Cross multiply
    210,569,352x = 454,432,656 × 454,432,656
  4. Step 4: Simplify right side
    210,569,352x = 206,509,038,839,214,336
  5. Step 5: Solve for x
    x = 206,509,038,839,214,336/210,569,352
  6. Step 6: Final answer
    x = 980,717,454.26

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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.