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Finding the Third Proportional to 19,460,032,080 and 42,487,095,906

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Solution

The third proportional to 19,460,032,080 and 42,487,095,906 is: 92,762,093,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,460,032,080 : 42,487,095,906 = 42,487,095,906 : x
  2. Step 2: Convert to fraction form
    19,460,032,080/42,487,095,906 = 42,487,095,906/x
  3. Step 3: Cross multiply
    19,460,032,080x = 42,487,095,906 × 42,487,095,906
  4. Step 4: Simplify right side
    19,460,032,080x = 1,805,153,318,525,641,949,184
  5. Step 5: Solve for x
    x = 1,805,153,318,525,641,949,184/19,460,032,080
  6. Step 6: Final answer
    x = 92,762,093,664.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.