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Finding the Third Proportional to 941,659,776 and 1,550,541,312

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Solution

The third proportional to 941,659,776 and 1,550,541,312 is: 2,553,128,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,659,776 : 1,550,541,312 = 1,550,541,312 : x
  2. Step 2: Convert to fraction form
    941,659,776/1,550,541,312 = 1,550,541,312/x
  3. Step 3: Cross multiply
    941,659,776x = 1,550,541,312 × 1,550,541,312
  4. Step 4: Simplify right side
    941,659,776x = 2,404,178,360,218,681,344
  5. Step 5: Solve for x
    x = 2,404,178,360,218,681,344/941,659,776
  6. Step 6: Final answer
    x = 2,553,128,445.64

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.