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Finding the Third Proportional to 473,880,152 and 715,869,444

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Solution

The third proportional to 473,880,152 and 715,869,444 is: 1,081,431,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,880,152 : 715,869,444 = 715,869,444 : x
  2. Step 2: Convert to fraction form
    473,880,152/715,869,444 = 715,869,444/x
  3. Step 3: Cross multiply
    473,880,152x = 715,869,444 × 715,869,444
  4. Step 4: Simplify right side
    473,880,152x = 512,469,060,852,869,120
  5. Step 5: Solve for x
    x = 512,469,060,852,869,120/473,880,152
  6. Step 6: Final answer
    x = 1,081,431,789.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.