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Finding the Third Proportional to 12,913,822.50 and 28,346,746.50

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Solution

The third proportional to 12,913,822.50 and 28,346,746.50 is: 62,223,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913,822.50 : 28,346,746.50 = 28,346,746.50 : x
  2. Step 2: Convert to fraction form
    12,913,822.50/28,346,746.50 = 28,346,746.50/x
  3. Step 3: Cross multiply
    12,913,822.50x = 28,346,746.50 × 28,346,746.50
  4. Step 4: Simplify right side
    12,913,822.50x = 803,538,037,135,262.25
  5. Step 5: Solve for x
    x = 803,538,037,135,262.25/12,913,822.50
  6. Step 6: Final answer
    x = 62,223,097.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.