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Finding the Third Proportional to 71,633,090,506.50 and 153,328,927,810.50

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Solution

The third proportional to 71,633,090,506.50 and 153,328,927,810.50 is: 328,196,925,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,633,090,506.50 : 153,328,927,810.50 = 153,328,927,810.50 : x
  2. Step 2: Convert to fraction form
    71,633,090,506.50/153,328,927,810.50 = 153,328,927,810.50/x
  3. Step 3: Cross multiply
    71,633,090,506.50x = 153,328,927,810.50 × 153,328,927,810.50
  4. Step 4: Simplify right side
    71,633,090,506.50x = 23,509,760,103,517,519,872,000
  5. Step 5: Solve for x
    x = 23,509,760,103,517,519,872,000/71,633,090,506.50
  6. Step 6: Final answer
    x = 328,196,925,991.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.