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Finding the Third Proportional to 1,575,545,430 and 3,647,102,461

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Solution

The third proportional to 1,575,545,430 and 3,647,102,461 is: 8,442,381,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,545,430 : 3,647,102,461 = 3,647,102,461 : x
  2. Step 2: Convert to fraction form
    1,575,545,430/3,647,102,461 = 3,647,102,461/x
  3. Step 3: Cross multiply
    1,575,545,430x = 3,647,102,461 × 3,647,102,461
  4. Step 4: Simplify right side
    1,575,545,430x = 13,301,356,361,032,257,536
  5. Step 5: Solve for x
    x = 13,301,356,361,032,257,536/1,575,545,430
  6. Step 6: Final answer
    x = 8,442,381,988.97

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.