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Finding the Third Proportional to 10,349,681,598 and 22,512,734,202

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Solution

The third proportional to 10,349,681,598 and 22,512,734,202 is: 48,969,931,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349,681,598 : 22,512,734,202 = 22,512,734,202 : x
  2. Step 2: Convert to fraction form
    10,349,681,598/22,512,734,202 = 22,512,734,202/x
  3. Step 3: Cross multiply
    10,349,681,598x = 22,512,734,202 × 22,512,734,202
  4. Step 4: Simplify right side
    10,349,681,598x = 506,823,201,249,900,560,384
  5. Step 5: Solve for x
    x = 506,823,201,249,900,560,384/10,349,681,598
  6. Step 6: Final answer
    x = 48,969,931,726.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.