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Finding the Third Proportional to 2,574,857,274 and 5,561,345,046

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Solution

The third proportional to 2,574,857,274 and 5,561,345,046 is: 12,011,756,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574,857,274 : 5,561,345,046 = 5,561,345,046 : x
  2. Step 2: Convert to fraction form
    2,574,857,274/5,561,345,046 = 5,561,345,046/x
  3. Step 3: Cross multiply
    2,574,857,274x = 5,561,345,046 × 5,561,345,046
  4. Step 4: Simplify right side
    2,574,857,274x = 30,928,558,720,668,741,632
  5. Step 5: Solve for x
    x = 30,928,558,720,668,741,632/2,574,857,274
  6. Step 6: Final answer
    x = 12,011,756,547.82

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