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Finding the Third Proportional to 6,763,211,258 and 10,871,826,681

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Solution

The third proportional to 6,763,211,258 and 10,871,826,681 is: 17,476,404,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763,211,258 : 10,871,826,681 = 10,871,826,681 : x
  2. Step 2: Convert to fraction form
    6,763,211,258/10,871,826,681 = 10,871,826,681/x
  3. Step 3: Cross multiply
    6,763,211,258x = 10,871,826,681 × 10,871,826,681
  4. Step 4: Simplify right side
    6,763,211,258x = 118,196,615,381,703,475,200
  5. Step 5: Solve for x
    x = 118,196,615,381,703,475,200/6,763,211,258
  6. Step 6: Final answer
    x = 17,476,404,458.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.