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Finding the Third Proportional to 22,547,534.50 and 48,283,708.50

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Solution

The third proportional to 22,547,534.50 and 48,283,708.50 is: 103,395,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547,534.50 : 48,283,708.50 = 48,283,708.50 : x
  2. Step 2: Convert to fraction form
    22,547,534.50/48,283,708.50 = 48,283,708.50/x
  3. Step 3: Cross multiply
    22,547,534.50x = 48,283,708.50 × 48,283,708.50
  4. Step 4: Simplify right side
    22,547,534.50x = 2,331,316,506,512,972
  5. Step 5: Solve for x
    x = 2,331,316,506,512,972/22,547,534.50
  6. Step 6: Final answer
    x = 103,395,628.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.