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Finding the Third Proportional to 213,277,043,888 and 458,651,549,536

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Solution

The third proportional to 213,277,043,888 and 458,651,549,536 is: 986,328,580,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,277,043,888 : 458,651,549,536 = 458,651,549,536 : x
  2. Step 2: Convert to fraction form
    213,277,043,888/458,651,549,536 = 458,651,549,536/x
  3. Step 3: Cross multiply
    213,277,043,888x = 458,651,549,536 × 458,651,549,536
  4. Step 4: Simplify right side
    213,277,043,888x = 210,361,243,891,773,862,838,272
  5. Step 5: Solve for x
    x = 210,361,243,891,773,862,838,272/213,277,043,888
  6. Step 6: Final answer
    x = 986,328,580,220.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.