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Finding the Third Proportional to 57,563,820 and 125,213,382

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Solution

The third proportional to 57,563,820 and 125,213,382 is: 272,365,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,563,820 : 125,213,382 = 125,213,382 : x
  2. Step 2: Convert to fraction form
    57,563,820/125,213,382 = 125,213,382/x
  3. Step 3: Cross multiply
    57,563,820x = 125,213,382 × 125,213,382
  4. Step 4: Simplify right side
    57,563,820x = 15,678,391,031,877,924
  5. Step 5: Solve for x
    x = 15,678,391,031,877,924/57,563,820
  6. Step 6: Final answer
    x = 272,365,368.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.