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Finding the Third Proportional to 433,038,411 and 625,665,856.50

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Solution

The third proportional to 433,038,411 and 625,665,856.50 is: 903,979,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,038,411 : 625,665,856.50 = 625,665,856.50 : x
  2. Step 2: Convert to fraction form
    433,038,411/625,665,856.50 = 625,665,856.50/x
  3. Step 3: Cross multiply
    433,038,411x = 625,665,856.50 × 625,665,856.50
  4. Step 4: Simplify right side
    433,038,411x = 391,457,763,989,878,592
  5. Step 5: Solve for x
    x = 391,457,763,989,878,592/433,038,411
  6. Step 6: Final answer
    x = 903,979,310.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.