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Finding the Third Proportional to 2,343,768,813 and 5,009,871,168

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Solution

The third proportional to 2,343,768,813 and 5,009,871,168 is: 10,708,739,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343,768,813 : 5,009,871,168 = 5,009,871,168 : x
  2. Step 2: Convert to fraction form
    2,343,768,813/5,009,871,168 = 5,009,871,168/x
  3. Step 3: Cross multiply
    2,343,768,813x = 5,009,871,168 × 5,009,871,168
  4. Step 4: Simplify right side
    2,343,768,813x = 25,098,809,119,957,684,224
  5. Step 5: Solve for x
    x = 25,098,809,119,957,684,224/2,343,768,813
  6. Step 6: Final answer
    x = 10,708,739,266.75

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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.