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Finding the Third Proportional to 329,653,556,552 and 714,072,631,296.50

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Solution

The third proportional to 329,653,556,552 and 714,072,631,296.50 is: 1,546,774,523,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,653,556,552 : 714,072,631,296.50 = 714,072,631,296.50 : x
  2. Step 2: Convert to fraction form
    329,653,556,552/714,072,631,296.50 = 714,072,631,296.50/x
  3. Step 3: Cross multiply
    329,653,556,552x = 714,072,631,296.50 × 714,072,631,296.50
  4. Step 4: Simplify right side
    329,653,556,552x = 509,899,722,766,707,226,312,704
  5. Step 5: Solve for x
    x = 509,899,722,766,707,226,312,704/329,653,556,552
  6. Step 6: Final answer
    x = 1,546,774,523,229.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.