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Finding the Third Proportional to 132,578,397 and 312,524,154

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Solution

The third proportional to 132,578,397 and 312,524,154 is: 736,706,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,578,397 : 312,524,154 = 312,524,154 : x
  2. Step 2: Convert to fraction form
    132,578,397/312,524,154 = 312,524,154/x
  3. Step 3: Cross multiply
    132,578,397x = 312,524,154 × 312,524,154
  4. Step 4: Simplify right side
    132,578,397x = 97,671,346,833,415,712
  5. Step 5: Solve for x
    x = 97,671,346,833,415,712/132,578,397
  6. Step 6: Final answer
    x = 736,706,349.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.