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Finding the Third Proportional to 10,349,681,308 and 22,512,733,796

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Solution

The third proportional to 10,349,681,308 and 22,512,733,796 is: 48,969,931,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349,681,308 : 22,512,733,796 = 22,512,733,796 : x
  2. Step 2: Convert to fraction form
    10,349,681,308/22,512,733,796 = 22,512,733,796/x
  3. Step 3: Cross multiply
    10,349,681,308x = 22,512,733,796 × 22,512,733,796
  4. Step 4: Simplify right side
    10,349,681,308x = 506,823,182,969,560,563,712
  5. Step 5: Solve for x
    x = 506,823,182,969,560,563,712/10,349,681,308
  6. Step 6: Final answer
    x = 48,969,931,332.84

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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.