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Finding the Third Proportional to 10,106,681 and 15,550,377

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Solution

The third proportional to 10,106,681 and 15,550,377 is: 23,926,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,681 : 15,550,377 = 15,550,377 : x
  2. Step 2: Convert to fraction form
    10,106,681/15,550,377 = 15,550,377/x
  3. Step 3: Cross multiply
    10,106,681x = 15,550,377 × 15,550,377
  4. Step 4: Simplify right side
    10,106,681x = 241,814,224,842,129
  5. Step 5: Solve for x
    x = 241,814,224,842,129/10,106,681
  6. Step 6: Final answer
    x = 23,926,175.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.