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Finding the Third Proportional to 289,438,304,547 and 437,880,030,003.50

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Solution

The third proportional to 289,438,304,547 and 437,880,030,003.50 is: 662,451,782,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,438,304,547 : 437,880,030,003.50 = 437,880,030,003.50 : x
  2. Step 2: Convert to fraction form
    289,438,304,547/437,880,030,003.50 = 437,880,030,003.50/x
  3. Step 3: Cross multiply
    289,438,304,547x = 437,880,030,003.50 × 437,880,030,003.50
  4. Step 4: Simplify right side
    289,438,304,547x = 191,738,920,675,866,069,434,368
  5. Step 5: Solve for x
    x = 191,738,920,675,866,069,434,368/289,438,304,547
  6. Step 6: Final answer
    x = 662,451,782,171.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.