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Finding the Third Proportional to 9,302,705,952 and 14,298,931,758

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Solution

The third proportional to 9,302,705,952 and 14,298,931,758 is: 21,978,492,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302,705,952 : 14,298,931,758 = 14,298,931,758 : x
  2. Step 2: Convert to fraction form
    9,302,705,952/14,298,931,758 = 14,298,931,758/x
  3. Step 3: Cross multiply
    9,302,705,952x = 14,298,931,758 × 14,298,931,758
  4. Step 4: Simplify right side
    9,302,705,952x = 204,459,449,419,940,986,880
  5. Step 5: Solve for x
    x = 204,459,449,419,940,986,880/9,302,705,952
  6. Step 6: Final answer
    x = 21,978,492,115.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.