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Finding the Third Proportional to 14,843,062,128 and 31,810,863,768

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Solution

The third proportional to 14,843,062,128 and 31,810,863,768 is: 68,175,356,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843,062,128 : 31,810,863,768 = 31,810,863,768 : x
  2. Step 2: Convert to fraction form
    14,843,062,128/31,810,863,768 = 31,810,863,768/x
  3. Step 3: Cross multiply
    14,843,062,128x = 31,810,863,768 × 31,810,863,768
  4. Step 4: Simplify right side
    14,843,062,128x = 1,011,931,053,666,255,110,144
  5. Step 5: Solve for x
    x = 1,011,931,053,666,255,110,144/14,843,062,128
  6. Step 6: Final answer
    x = 68,175,356,603.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.