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Finding the Third Proportional to 653,223,730.50 and 967,590,569.25

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Solution

The third proportional to 653,223,730.50 and 967,590,569.25 is: 1,433,247,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,223,730.50 : 967,590,569.25 = 967,590,569.25 : x
  2. Step 2: Convert to fraction form
    653,223,730.50/967,590,569.25 = 967,590,569.25/x
  3. Step 3: Cross multiply
    653,223,730.50x = 967,590,569.25 × 967,590,569.25
  4. Step 4: Simplify right side
    653,223,730.50x = 936,231,509,701,539,072
  5. Step 5: Solve for x
    x = 936,231,509,701,539,072/653,223,730.50
  6. Step 6: Final answer
    x = 1,433,247,853.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.