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Finding the Third Proportional to 14,482,760,030 and 31,273,312,444

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Solution

The third proportional to 14,482,760,030 and 31,273,312,444 is: 67,529,950,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,482,760,030 : 31,273,312,444 = 31,273,312,444 : x
  2. Step 2: Convert to fraction form
    14,482,760,030/31,273,312,444 = 31,273,312,444/x
  3. Step 3: Cross multiply
    14,482,760,030x = 31,273,312,444 × 31,273,312,444
  4. Step 4: Simplify right side
    14,482,760,030x = 978,020,071,220,045,283,328
  5. Step 5: Solve for x
    x = 978,020,071,220,045,283,328/14,482,760,030
  6. Step 6: Final answer
    x = 67,529,950,727.22

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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.