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Finding the Third Proportional to 9,176,172,534 and 14,169,616,269.75

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Solution

The third proportional to 9,176,172,534 and 14,169,616,269.75 is: 21,880,367,276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176,172,534 : 14,169,616,269.75 = 14,169,616,269.75 : x
  2. Step 2: Convert to fraction form
    9,176,172,534/14,169,616,269.75 = 14,169,616,269.75/x
  3. Step 3: Cross multiply
    9,176,172,534x = 14,169,616,269.75 × 14,169,616,269.75
  4. Step 4: Simplify right side
    9,176,172,534x = 200,778,025,231,963,914,240
  5. Step 5: Solve for x
    x = 200,778,025,231,963,914,240/9,176,172,534
  6. Step 6: Final answer
    x = 21,880,367,276.01

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