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Finding the Third Proportional to 114,926,867,178 and 268,521,018,786

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Solution

The third proportional to 114,926,867,178 and 268,521,018,786 is: 627,386,261,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,926,867,178 : 268,521,018,786 = 268,521,018,786 : x
  2. Step 2: Convert to fraction form
    114,926,867,178/268,521,018,786 = 268,521,018,786/x
  3. Step 3: Cross multiply
    114,926,867,178x = 268,521,018,786 × 268,521,018,786
  4. Step 4: Simplify right side
    114,926,867,178x = 72,103,537,529,871,363,211,264
  5. Step 5: Solve for x
    x = 72,103,537,529,871,363,211,264/114,926,867,178
  6. Step 6: Final answer
    x = 627,386,261,370.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.