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Finding the Third Proportional to 9,017,614,900 and 14,495,768,790

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Solution

The third proportional to 9,017,614,900 and 14,495,768,790 is: 23,301,872,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017,614,900 : 14,495,768,790 = 14,495,768,790 : x
  2. Step 2: Convert to fraction form
    9,017,614,900/14,495,768,790 = 14,495,768,790/x
  3. Step 3: Cross multiply
    9,017,614,900x = 14,495,768,790 × 14,495,768,790
  4. Step 4: Simplify right side
    9,017,614,900x = 210,127,312,813,138,051,072
  5. Step 5: Solve for x
    x = 210,127,312,813,138,051,072/9,017,614,900
  6. Step 6: Final answer
    x = 23,301,872,517.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.