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Finding the Third Proportional to 968,982,152.63 and 2,125,561,336.88

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Solution

The third proportional to 968,982,152.63 and 2,125,561,336.88 is: 4,662,635,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,982,152.63 : 2,125,561,336.88 = 2,125,561,336.88 : x
  2. Step 2: Convert to fraction form
    968,982,152.63/2,125,561,336.88 = 2,125,561,336.88/x
  3. Step 3: Cross multiply
    968,982,152.63x = 2,125,561,336.88 × 2,125,561,336.88
  4. Step 4: Simplify right side
    968,982,152.63x = 4,518,010,996,817,837,056
  5. Step 5: Solve for x
    x = 4,518,010,996,817,837,056/968,982,152.63
  6. Step 6: Final answer
    x = 4,662,635,926.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.