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Finding the Third Proportional to 11,197,118,320 and 24,055,925,072

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Solution

The third proportional to 11,197,118,320 and 24,055,925,072 is: 51,681,826,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197,118,320 : 24,055,925,072 = 24,055,925,072 : x
  2. Step 2: Convert to fraction form
    11,197,118,320/24,055,925,072 = 24,055,925,072/x
  3. Step 3: Cross multiply
    11,197,118,320x = 24,055,925,072 × 24,055,925,072
  4. Step 4: Simplify right side
    11,197,118,320x = 578,687,531,069,678,223,360
  5. Step 5: Solve for x
    x = 578,687,531,069,678,223,360/11,197,118,320
  6. Step 6: Final answer
    x = 51,681,826,924.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.