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Finding the Third Proportional to 10,106,537 and 15,550,154

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Solution

The third proportional to 10,106,537 and 15,550,154 is: 23,925,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,537 : 15,550,154 = 15,550,154 : x
  2. Step 2: Convert to fraction form
    10,106,537/15,550,154 = 15,550,154/x
  3. Step 3: Cross multiply
    10,106,537x = 15,550,154 × 15,550,154
  4. Step 4: Simplify right side
    10,106,537x = 241,807,289,423,716
  5. Step 5: Solve for x
    x = 241,807,289,423,716/10,106,537
  6. Step 6: Final answer
    x = 23,925,830.32

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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.