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Finding the Third Proportional to 273,804,166,006.25 and 585,289,362,236.50

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Solution

The third proportional to 273,804,166,006.25 and 585,289,362,236.50 is: 1,251,126,462,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,804,166,006.25 : 585,289,362,236.50 = 585,289,362,236.50 : x
  2. Step 2: Convert to fraction form
    273,804,166,006.25/585,289,362,236.50 = 585,289,362,236.50/x
  3. Step 3: Cross multiply
    273,804,166,006.25x = 585,289,362,236.50 × 585,289,362,236.50
  4. Step 4: Simplify right side
    273,804,166,006.25x = 342,563,637,547,208,888,287,232
  5. Step 5: Solve for x
    x = 342,563,637,547,208,888,287,232/273,804,166,006.25
  6. Step 6: Final answer
    x = 1,251,126,462,186.08

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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.