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Finding the Third Proportional to 32,032,260 and 69,103,368

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Solution

The third proportional to 32,032,260 and 69,103,368 is: 149,077,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032,260 : 69,103,368 = 69,103,368 : x
  2. Step 2: Convert to fraction form
    32,032,260/69,103,368 = 69,103,368/x
  3. Step 3: Cross multiply
    32,032,260x = 69,103,368 × 69,103,368
  4. Step 4: Simplify right side
    32,032,260x = 4,775,275,468,943,424
  5. Step 5: Solve for x
    x = 4,775,275,468,943,424/32,032,260
  6. Step 6: Final answer
    x = 149,077,070.08

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Why These Related Problems?

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