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Finding the Third Proportional to 10,640,316 and 16,509,397.50

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Solution

The third proportional to 10,640,316 and 16,509,397.50 is: 25,615,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640,316 : 16,509,397.50 = 16,509,397.50 : x
  2. Step 2: Convert to fraction form
    10,640,316/16,509,397.50 = 16,509,397.50/x
  3. Step 3: Cross multiply
    10,640,316x = 16,509,397.50 × 16,509,397.50
  4. Step 4: Simplify right side
    10,640,316x = 272,560,205,813,006.25
  5. Step 5: Solve for x
    x = 272,560,205,813,006.25/10,640,316
  6. Step 6: Final answer
    x = 25,615,799.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.