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Finding the Third Proportional to 75,004,564 and 112,706,547

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Solution

The third proportional to 75,004,564 and 112,706,547 is: 169,359,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,004,564 : 112,706,547 = 112,706,547 : x
  2. Step 2: Convert to fraction form
    75,004,564/112,706,547 = 112,706,547/x
  3. Step 3: Cross multiply
    75,004,564x = 112,706,547 × 112,706,547
  4. Step 4: Simplify right side
    75,004,564x = 12,702,765,736,663,208
  5. Step 5: Solve for x
    x = 12,702,765,736,663,208/75,004,564
  6. Step 6: Final answer
    x = 169,359,903.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.