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Finding the Third Proportional to 6,258,364,046 and 13,262,871,262

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Solution

The third proportional to 6,258,364,046 and 13,262,871,262 is: 28,106,986,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258,364,046 : 13,262,871,262 = 13,262,871,262 : x
  2. Step 2: Convert to fraction form
    6,258,364,046/13,262,871,262 = 13,262,871,262/x
  3. Step 3: Cross multiply
    6,258,364,046x = 13,262,871,262 × 13,262,871,262
  4. Step 4: Simplify right side
    6,258,364,046x = 175,903,754,112,385,482,752
  5. Step 5: Solve for x
    x = 175,903,754,112,385,482,752/6,258,364,046
  6. Step 6: Final answer
    x = 28,106,986,557.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.