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Finding the Third Proportional to 9,693,748 and 20,390,312

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Solution

The third proportional to 9,693,748 and 20,390,312 is: 42,889,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693,748 : 20,390,312 = 20,390,312 : x
  2. Step 2: Convert to fraction form
    9,693,748/20,390,312 = 20,390,312/x
  3. Step 3: Cross multiply
    9,693,748x = 20,390,312 × 20,390,312
  4. Step 4: Simplify right side
    9,693,748x = 415,764,823,457,344
  5. Step 5: Solve for x
    x = 415,764,823,457,344/9,693,748
  6. Step 6: Final answer
    x = 42,889,997.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.