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Finding the Third Proportional to 4,668,479,248 and 10,082,355,316

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Solution

The third proportional to 4,668,479,248 and 10,082,355,316 is: 21,774,518,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668,479,248 : 10,082,355,316 = 10,082,355,316 : x
  2. Step 2: Convert to fraction form
    4,668,479,248/10,082,355,316 = 10,082,355,316/x
  3. Step 3: Cross multiply
    4,668,479,248x = 10,082,355,316 × 10,082,355,316
  4. Step 4: Simplify right side
    4,668,479,248x = 101,653,888,718,073,462,784
  5. Step 5: Solve for x
    x = 101,653,888,718,073,462,784/4,668,479,248
  6. Step 6: Final answer
    x = 21,774,518,706.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.