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Finding the Third Proportional to 478,569,018 and 1,038,814,269

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Solution

The third proportional to 478,569,018 and 1,038,814,269 is: 2,254,920,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,569,018 : 1,038,814,269 = 1,038,814,269 : x
  2. Step 2: Convert to fraction form
    478,569,018/1,038,814,269 = 1,038,814,269/x
  3. Step 3: Cross multiply
    478,569,018x = 1,038,814,269 × 1,038,814,269
  4. Step 4: Simplify right side
    478,569,018x = 1,079,135,085,478,004,352
  5. Step 5: Solve for x
    x = 1,079,135,085,478,004,352/478,569,018
  6. Step 6: Final answer
    x = 2,254,920,491.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.