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Finding the Third Proportional to 284,095,631,461 and 618,203,537,397

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Solution

The third proportional to 284,095,631,461 and 618,203,537,397 is: 1,345,235,798,540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,095,631,461 : 618,203,537,397 = 618,203,537,397 : x
  2. Step 2: Convert to fraction form
    284,095,631,461/618,203,537,397 = 618,203,537,397/x
  3. Step 3: Cross multiply
    284,095,631,461x = 618,203,537,397 × 618,203,537,397
  4. Step 4: Simplify right side
    284,095,631,461x = 382,175,613,650,163,971,653,632
  5. Step 5: Solve for x
    x = 382,175,613,650,163,971,653,632/284,095,631,461
  6. Step 6: Final answer
    x = 1,345,235,798,540.00

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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.