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Finding the Third Proportional to 1,968,153,106.50 and 4,337,478,489

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Solution

The third proportional to 1,968,153,106.50 and 4,337,478,489 is: 9,559,073,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,153,106.50 : 4,337,478,489 = 4,337,478,489 : x
  2. Step 2: Convert to fraction form
    1,968,153,106.50/4,337,478,489 = 4,337,478,489/x
  3. Step 3: Cross multiply
    1,968,153,106.50x = 4,337,478,489 × 4,337,478,489
  4. Step 4: Simplify right side
    1,968,153,106.50x = 18,813,719,642,537,721,856
  5. Step 5: Solve for x
    x = 18,813,719,642,537,721,856/1,968,153,106.50
  6. Step 6: Final answer
    x = 9,559,073,214.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.