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Finding the Third Proportional to 1,849,780,981 and 4,316,304,784

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Solution

The third proportional to 1,849,780,981 and 4,316,304,784 is: 10,071,725,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,780,981 : 4,316,304,784 = 4,316,304,784 : x
  2. Step 2: Convert to fraction form
    1,849,780,981/4,316,304,784 = 4,316,304,784/x
  3. Step 3: Cross multiply
    1,849,780,981x = 4,316,304,784 × 4,316,304,784
  4. Step 4: Simplify right side
    1,849,780,981x = 18,630,486,988,381,286,400
  5. Step 5: Solve for x
    x = 18,630,486,988,381,286,400/1,849,780,981
  6. Step 6: Final answer
    x = 10,071,725,885.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.