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Finding the Third Proportional to 4,778,859,984,822 and 10,510,919,654,994

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Solution

The third proportional to 4,778,859,984,822 and 10,510,919,654,994 is: 23,118,365,540,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778,859,984,822 : 10,510,919,654,994 = 10,510,919,654,994 : x
  2. Step 2: Convert to fraction form
    4,778,859,984,822/10,510,919,654,994 = 10,510,919,654,994/x
  3. Step 3: Cross multiply
    4,778,859,984,822x = 10,510,919,654,994 × 10,510,919,654,994
  4. Step 4: Simplify right side
    4,778,859,984,822x = 110,479,431,993,739,186,643,402,752
  5. Step 5: Solve for x
    x = 110,479,431,993,739,186,643,402,752/4,778,859,984,822
  6. Step 6: Final answer
    x = 23,118,365,540,030.41

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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.