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Finding the Third Proportional to 2,343,768,818 and 5,009,871,178

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Solution

The third proportional to 2,343,768,818 and 5,009,871,178 is: 10,708,739,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343,768,818 : 5,009,871,178 = 5,009,871,178 : x
  2. Step 2: Convert to fraction form
    2,343,768,818/5,009,871,178 = 5,009,871,178/x
  3. Step 3: Cross multiply
    2,343,768,818x = 5,009,871,178 × 5,009,871,178
  4. Step 4: Simplify right side
    2,343,768,818x = 25,098,809,220,155,109,376
  5. Step 5: Solve for x
    x = 25,098,809,220,155,109,376/2,343,768,818
  6. Step 6: Final answer
    x = 10,708,739,286.66

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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.