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Finding the Third Proportional to 210,569,740 and 454,433,411

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Solution

The third proportional to 210,569,740 and 454,433,411 is: 980,718,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,569,740 : 454,433,411 = 454,433,411 : x
  2. Step 2: Convert to fraction form
    210,569,740/454,433,411 = 454,433,411/x
  3. Step 3: Cross multiply
    210,569,740x = 454,433,411 × 454,433,411
  4. Step 4: Simplify right side
    210,569,740x = 206,509,725,033,094,912
  5. Step 5: Solve for x
    x = 206,509,725,033,094,912/210,569,740
  6. Step 6: Final answer
    x = 980,718,905.92

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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.