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Finding the Third Proportional to 258,704,362,304 and 562,963,354,324

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Solution

The third proportional to 258,704,362,304 and 562,963,354,324 is: 1,225,057,573,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,704,362,304 : 562,963,354,324 = 562,963,354,324 : x
  2. Step 2: Convert to fraction form
    258,704,362,304/562,963,354,324 = 562,963,354,324/x
  3. Step 3: Cross multiply
    258,704,362,304x = 562,963,354,324 × 562,963,354,324
  4. Step 4: Simplify right side
    258,704,362,304x = 316,927,738,311,729,584,537,600
  5. Step 5: Solve for x
    x = 316,927,738,311,729,584,537,600/258,704,362,304
  6. Step 6: Final answer
    x = 1,225,057,573,398.44

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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.