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Finding the Third Proportional to 2,343,768,784 and 5,009,871,116

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Solution

The third proportional to 2,343,768,784 and 5,009,871,116 is: 10,708,739,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343,768,784 : 5,009,871,116 = 5,009,871,116 : x
  2. Step 2: Convert to fraction form
    2,343,768,784/5,009,871,116 = 5,009,871,116/x
  3. Step 3: Cross multiply
    2,343,768,784x = 5,009,871,116 × 5,009,871,116
  4. Step 4: Simplify right side
    2,343,768,784x = 25,098,808,598,931,087,360
  5. Step 5: Solve for x
    x = 25,098,808,598,931,087,360/2,343,768,784
  6. Step 6: Final answer
    x = 10,708,739,176.95

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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.