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Finding the Third Proportional to 973,421,415 and 1,484,649,864

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Solution

The third proportional to 973,421,415 and 1,484,649,864 is: 2,264,368,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,421,415 : 1,484,649,864 = 1,484,649,864 : x
  2. Step 2: Convert to fraction form
    973,421,415/1,484,649,864 = 1,484,649,864/x
  3. Step 3: Cross multiply
    973,421,415x = 1,484,649,864 × 1,484,649,864
  4. Step 4: Simplify right side
    973,421,415x = 2,204,185,218,675,218,432
  5. Step 5: Solve for x
    x = 2,204,185,218,675,218,432/973,421,415
  6. Step 6: Final answer
    x = 2,264,368,941.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.