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Finding the Third Proportional to 114,926,867,169 and 268,521,018,774

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Solution

The third proportional to 114,926,867,169 and 268,521,018,774 is: 627,386,261,363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,926,867,169 : 268,521,018,774 = 268,521,018,774 : x
  2. Step 2: Convert to fraction form
    114,926,867,169/268,521,018,774 = 268,521,018,774/x
  3. Step 3: Cross multiply
    114,926,867,169x = 268,521,018,774 × 268,521,018,774
  4. Step 4: Simplify right side
    114,926,867,169x = 72,103,537,523,426,857,058,304
  5. Step 5: Solve for x
    x = 72,103,537,523,426,857,058,304/114,926,867,169
  6. Step 6: Final answer
    x = 627,386,261,363.92

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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.