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Finding the Third Proportional to 10,515,641,804 and 16,334,663,512

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Solution

The third proportional to 10,515,641,804 and 16,334,663,512 is: 25,373,746,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515,641,804 : 16,334,663,512 = 16,334,663,512 : x
  2. Step 2: Convert to fraction form
    10,515,641,804/16,334,663,512 = 16,334,663,512/x
  3. Step 3: Cross multiply
    10,515,641,804x = 16,334,663,512 × 16,334,663,512
  4. Step 4: Simplify right side
    10,515,641,804x = 266,821,232,050,264,178,688
  5. Step 5: Solve for x
    x = 266,821,232,050,264,178,688/10,515,641,804
  6. Step 6: Final answer
    x = 25,373,746,750.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.