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Finding the Third Proportional to 10,282,969 and 15,973,553

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Solution

The third proportional to 10,282,969 and 15,973,553 is: 24,813,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282,969 : 15,973,553 = 15,973,553 : x
  2. Step 2: Convert to fraction form
    10,282,969/15,973,553 = 15,973,553/x
  3. Step 3: Cross multiply
    10,282,969x = 15,973,553 × 15,973,553
  4. Step 4: Simplify right side
    10,282,969x = 255,154,395,443,809
  5. Step 5: Solve for x
    x = 255,154,395,443,809/10,282,969
  6. Step 6: Final answer
    x = 24,813,300.07

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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.