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Finding the Third Proportional to 285,271,587,400.50 and 621,801,035,653.52

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Solution

The third proportional to 285,271,587,400.50 and 621,801,035,653.52 is: 1,355,327,852,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,271,587,400.50 : 621,801,035,653.52 = 621,801,035,653.52 : x
  2. Step 2: Convert to fraction form
    285,271,587,400.50/621,801,035,653.52 = 621,801,035,653.52/x
  3. Step 3: Cross multiply
    285,271,587,400.50x = 621,801,035,653.52 × 621,801,035,653.52
  4. Step 4: Simplify right side
    285,271,587,400.50x = 386,636,527,939,790,076,641,280
  5. Step 5: Solve for x
    x = 386,636,527,939,790,076,641,280/285,271,587,400.50
  6. Step 6: Final answer
    x = 1,355,327,852,531.56

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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.