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Finding the Third Proportional to 284,095,631,536 and 618,203,537,552

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Solution

The third proportional to 284,095,631,536 and 618,203,537,552 is: 1,345,235,798,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,095,631,536 : 618,203,537,552 = 618,203,537,552 : x
  2. Step 2: Convert to fraction form
    284,095,631,536/618,203,537,552 = 618,203,537,552/x
  3. Step 3: Cross multiply
    284,095,631,536x = 618,203,537,552 × 618,203,537,552
  4. Step 4: Simplify right side
    284,095,631,536x = 382,175,613,841,807,090,122,752
  5. Step 5: Solve for x
    x = 382,175,613,841,807,090,122,752/284,095,631,536
  6. Step 6: Final answer
    x = 1,345,235,798,859.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.