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Finding the Third Proportional to 10,205,048,616 and 15,973,688,313

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Solution

The third proportional to 10,205,048,616 and 15,973,688,313 is: 25,003,184,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205,048,616 : 15,973,688,313 = 15,973,688,313 : x
  2. Step 2: Convert to fraction form
    10,205,048,616/15,973,688,313 = 15,973,688,313/x
  3. Step 3: Cross multiply
    10,205,048,616x = 15,973,688,313 × 15,973,688,313
  4. Step 4: Simplify right side
    10,205,048,616x = 255,158,718,320,872,783,872
  5. Step 5: Solve for x
    x = 255,158,718,320,872,783,872/10,205,048,616
  6. Step 6: Final answer
    x = 25,003,184,984.42

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.