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Finding the Third Proportional to 5,547,684,456 and 7,607,223,324

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Solution

The third proportional to 5,547,684,456 and 7,607,223,324 is: 10,431,351,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547,684,456 : 7,607,223,324 = 7,607,223,324 : x
  2. Step 2: Convert to fraction form
    5,547,684,456/7,607,223,324 = 7,607,223,324/x
  3. Step 3: Cross multiply
    5,547,684,456x = 7,607,223,324 × 7,607,223,324
  4. Step 4: Simplify right side
    5,547,684,456x = 57,869,846,701,209,608,192
  5. Step 5: Solve for x
    x = 57,869,846,701,209,608,192/5,547,684,456
  6. Step 6: Final answer
    x = 10,431,351,523.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.