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Finding the Third Proportional to 575,658,018 and 820,429,371

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Solution

The third proportional to 575,658,018 and 820,429,371 is: 1,169,278,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,658,018 : 820,429,371 = 820,429,371 : x
  2. Step 2: Convert to fraction form
    575,658,018/820,429,371 = 820,429,371/x
  3. Step 3: Cross multiply
    575,658,018x = 820,429,371 × 820,429,371
  4. Step 4: Simplify right side
    575,658,018x = 673,104,352,799,455,616
  5. Step 5: Solve for x
    x = 673,104,352,799,455,616/575,658,018
  6. Step 6: Final answer
    x = 1,169,278,168.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.