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Finding the Third Proportional to 2,634,358,626 and 5,202,092,457

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Solution

The third proportional to 2,634,358,626 and 5,202,092,457 is: 10,272,620,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634,358,626 : 5,202,092,457 = 5,202,092,457 : x
  2. Step 2: Convert to fraction form
    2,634,358,626/5,202,092,457 = 5,202,092,457/x
  3. Step 3: Cross multiply
    2,634,358,626x = 5,202,092,457 × 5,202,092,457
  4. Step 4: Simplify right side
    2,634,358,626x = 27,061,765,931,176,296,448
  5. Step 5: Solve for x
    x = 27,061,765,931,176,296,448/2,634,358,626
  6. Step 6: Final answer
    x = 10,272,620,312.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.