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Finding the Third Proportional to 10,657,053 and 23,106,321

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Solution

The third proportional to 10,657,053 and 23,106,321 is: 50,098,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657,053 : 23,106,321 = 23,106,321 : x
  2. Step 2: Convert to fraction form
    10,657,053/23,106,321 = 23,106,321/x
  3. Step 3: Cross multiply
    10,657,053x = 23,106,321 × 23,106,321
  4. Step 4: Simplify right side
    10,657,053x = 533,902,070,155,041
  5. Step 5: Solve for x
    x = 533,902,070,155,041/10,657,053
  6. Step 6: Final answer
    x = 50,098,471.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.