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Finding the Third Proportional to 19,369,578,208,568 and 42,687,293,342,148

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Solution

The third proportional to 19,369,578,208,568 and 42,687,293,342,148 is: 94,075,616,580,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,369,578,208,568 : 42,687,293,342,148 = 42,687,293,342,148 : x
  2. Step 2: Convert to fraction form
    19,369,578,208,568/42,687,293,342,148 = 42,687,293,342,148/x
  3. Step 3: Cross multiply
    19,369,578,208,568x = 42,687,293,342,148 × 42,687,293,342,148
  4. Step 4: Simplify right side
    19,369,578,208,568x = 1,822,205,012,878,592,945,508,319,232
  5. Step 5: Solve for x
    x = 1,822,205,012,878,592,945,508,319,232/19,369,578,208,568
  6. Step 6: Final answer
    x = 94,075,616,580,672.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.