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Finding the Third Proportional to 10,133,600 and 21,841,830

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Solution

The third proportional to 10,133,600 and 21,841,830 is: 47,077,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133,600 : 21,841,830 = 21,841,830 : x
  2. Step 2: Convert to fraction form
    10,133,600/21,841,830 = 21,841,830/x
  3. Step 3: Cross multiply
    10,133,600x = 21,841,830 × 21,841,830
  4. Step 4: Simplify right side
    10,133,600x = 477,065,537,748,900
  5. Step 5: Solve for x
    x = 477,065,537,748,900/10,133,600
  6. Step 6: Final answer
    x = 47,077,597.08

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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.