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Finding the Third Proportional to 8,972,864,230 and 19,634,372,410

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Solution

The third proportional to 8,972,864,230 and 19,634,372,410 is: 42,963,826,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,864,230 : 19,634,372,410 = 19,634,372,410 : x
  2. Step 2: Convert to fraction form
    8,972,864,230/19,634,372,410 = 19,634,372,410/x
  3. Step 3: Cross multiply
    8,972,864,230x = 19,634,372,410 × 19,634,372,410
  4. Step 4: Simplify right side
    8,972,864,230x = 385,508,579,934,569,234,432
  5. Step 5: Solve for x
    x = 385,508,579,934,569,234,432/8,972,864,230
  6. Step 6: Final answer
    x = 42,963,826,271.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.