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Finding the Third Proportional to 483,523,352,597 and 1,034,970,245,834.50

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Solution

The third proportional to 483,523,352,597 and 1,034,970,245,834.50 is: 2,215,329,216,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,523,352,597 : 1,034,970,245,834.50 = 1,034,970,245,834.50 : x
  2. Step 2: Convert to fraction form
    483,523,352,597/1,034,970,245,834.50 = 1,034,970,245,834.50/x
  3. Step 3: Cross multiply
    483,523,352,597x = 1,034,970,245,834.50 × 1,034,970,245,834.50
  4. Step 4: Simplify right side
    483,523,352,597x = 1,071,163,409,762,725,304,205,312
  5. Step 5: Solve for x
    x = 1,071,163,409,762,725,304,205,312/483,523,352,597
  6. Step 6: Final answer
    x = 2,215,329,216,281.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.