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Finding the Third Proportional to 14,900,203,854 and 32,445,802,908

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Solution

The third proportional to 14,900,203,854 and 32,445,802,908 is: 70,652,061,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900,203,854 : 32,445,802,908 = 32,445,802,908 : x
  2. Step 2: Convert to fraction form
    14,900,203,854/32,445,802,908 = 32,445,802,908/x
  3. Step 3: Cross multiply
    14,900,203,854x = 32,445,802,908 × 32,445,802,908
  4. Step 4: Simplify right side
    14,900,203,854x = 1,052,730,126,344,781,299,712
  5. Step 5: Solve for x
    x = 1,052,730,126,344,781,299,712/14,900,203,854
  6. Step 6: Final answer
    x = 70,652,061,989.22

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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.