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Finding the Third Proportional to 2,828,337,960 and 6,146,283,984

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Solution

The third proportional to 2,828,337,960 and 6,146,283,984 is: 13,356,539,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828,337,960 : 6,146,283,984 = 6,146,283,984 : x
  2. Step 2: Convert to fraction form
    2,828,337,960/6,146,283,984 = 6,146,283,984/x
  3. Step 3: Cross multiply
    2,828,337,960x = 6,146,283,984 × 6,146,283,984
  4. Step 4: Simplify right side
    2,828,337,960x = 37,776,806,811,974,909,952
  5. Step 5: Solve for x
    x = 37,776,806,811,974,909,952/2,828,337,960
  6. Step 6: Final answer
    x = 13,356,539,192.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.