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Finding the Third Proportional to 243,385,944 and 573,966,552

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Solution

The third proportional to 243,385,944 and 573,966,552 is: 1,353,560,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,385,944 : 573,966,552 = 573,966,552 : x
  2. Step 2: Convert to fraction form
    243,385,944/573,966,552 = 573,966,552/x
  3. Step 3: Cross multiply
    243,385,944x = 573,966,552 × 573,966,552
  4. Step 4: Simplify right side
    243,385,944x = 329,437,602,814,768,704
  5. Step 5: Solve for x
    x = 329,437,602,814,768,704/243,385,944
  6. Step 6: Final answer
    x = 1,353,560,511.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.