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Finding the Third Proportional to 1,525,841,378 and 3,295,611,940

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Solution

The third proportional to 1,525,841,378 and 3,295,611,940 is: 7,118,078,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,841,378 : 3,295,611,940 = 3,295,611,940 : x
  2. Step 2: Convert to fraction form
    1,525,841,378/3,295,611,940 = 3,295,611,940/x
  3. Step 3: Cross multiply
    1,525,841,378x = 3,295,611,940 × 3,295,611,940
  4. Step 4: Simplify right side
    1,525,841,378x = 10,861,058,059,070,564,352
  5. Step 5: Solve for x
    x = 10,861,058,059,070,564,352/1,525,841,378
  6. Step 6: Final answer
    x = 7,118,078,075.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.