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Finding the Third Proportional to 503,319,363,220 and 1,104,083,947,208

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Solution

The third proportional to 503,319,363,220 and 1,104,083,947,208 is: 2,421,924,232,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,319,363,220 : 1,104,083,947,208 = 1,104,083,947,208 : x
  2. Step 2: Convert to fraction form
    503,319,363,220/1,104,083,947,208 = 1,104,083,947,208/x
  3. Step 3: Cross multiply
    503,319,363,220x = 1,104,083,947,208 × 1,104,083,947,208
  4. Step 4: Simplify right side
    503,319,363,220x = 1,219,001,362,482,397,641,179,136
  5. Step 5: Solve for x
    x = 1,219,001,362,482,397,641,179,136/503,319,363,220
  6. Step 6: Final answer
    x = 2,421,924,232,526.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.