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Finding the Third Proportional to 359,905,011,527.24 and 773,974,489,774.50

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Solution

The third proportional to 359,905,011,527.24 and 773,974,489,774.50 is: 1,664,429,478,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,905,011,527.24 : 773,974,489,774.50 = 773,974,489,774.50 : x
  2. Step 2: Convert to fraction form
    359,905,011,527.24/773,974,489,774.50 = 773,974,489,774.50/x
  3. Step 3: Cross multiply
    359,905,011,527.24x = 773,974,489,774.50 × 773,974,489,774.50
  4. Step 4: Simplify right side
    359,905,011,527.24x = 599,036,510,821,697,609,269,248
  5. Step 5: Solve for x
    x = 599,036,510,821,697,609,269,248/359,905,011,527.24
  6. Step 6: Final answer
    x = 1,664,429,478,988.68

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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.