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Finding the Third Proportional to 969,448,320 and 1,535,333,464

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Solution

The third proportional to 969,448,320 and 1,535,333,464 is: 2,431,536,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,448,320 : 1,535,333,464 = 1,535,333,464 : x
  2. Step 2: Convert to fraction form
    969,448,320/1,535,333,464 = 1,535,333,464/x
  3. Step 3: Cross multiply
    969,448,320x = 1,535,333,464 × 1,535,333,464
  4. Step 4: Simplify right side
    969,448,320x = 2,357,248,845,678,239,232
  5. Step 5: Solve for x
    x = 2,357,248,845,678,239,232/969,448,320
  6. Step 6: Final answer
    x = 2,431,536,366.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.