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Finding the Third Proportional to 243,385,930 and 573,966,518

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Solution

The third proportional to 243,385,930 and 573,966,518 is: 1,353,560,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,385,930 : 573,966,518 = 573,966,518 : x
  2. Step 2: Convert to fraction form
    243,385,930/573,966,518 = 573,966,518/x
  3. Step 3: Cross multiply
    243,385,930x = 573,966,518 × 573,966,518
  4. Step 4: Simplify right side
    243,385,930x = 329,437,563,785,044,352
  5. Step 5: Solve for x
    x = 329,437,563,785,044,352/243,385,930
  6. Step 6: Final answer
    x = 1,353,560,428.84

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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.