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Finding the Third Proportional to 359,905,011,618 and 773,974,489,968

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Solution

The third proportional to 359,905,011,618 and 773,974,489,968 is: 1,664,429,479,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,905,011,618 : 773,974,489,968 = 773,974,489,968 : x
  2. Step 2: Convert to fraction form
    359,905,011,618/773,974,489,968 = 773,974,489,968/x
  3. Step 3: Cross multiply
    359,905,011,618x = 773,974,489,968 × 773,974,489,968
  4. Step 4: Simplify right side
    359,905,011,618x = 599,036,511,121,225,742,811,136
  5. Step 5: Solve for x
    x = 599,036,511,121,225,742,811,136/359,905,011,618
  6. Step 6: Final answer
    x = 1,664,429,479,401.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.