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Finding the Third Proportional to 454,847,671.50 and 698,701,663.50

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Solution

The third proportional to 454,847,671.50 and 698,701,663.50 is: 1,073,291,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,847,671.50 : 698,701,663.50 = 698,701,663.50 : x
  2. Step 2: Convert to fraction form
    454,847,671.50/698,701,663.50 = 698,701,663.50/x
  3. Step 3: Cross multiply
    454,847,671.50x = 698,701,663.50 × 698,701,663.50
  4. Step 4: Simplify right side
    454,847,671.50x = 488,184,014,577,667,264
  5. Step 5: Solve for x
    x = 488,184,014,577,667,264/454,847,671.50
  6. Step 6: Final answer
    x = 1,073,291,225.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.