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Finding the Third Proportional to 10,572,429 and 16,822,897.50

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Solution

The third proportional to 10,572,429 and 16,822,897.50 is: 26,768,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572,429 : 16,822,897.50 = 16,822,897.50 : x
  2. Step 2: Convert to fraction form
    10,572,429/16,822,897.50 = 16,822,897.50/x
  3. Step 3: Cross multiply
    10,572,429x = 16,822,897.50 × 16,822,897.50
  4. Step 4: Simplify right side
    10,572,429x = 283,009,880,295,506.25
  5. Step 5: Solve for x
    x = 283,009,880,295,506.25/10,572,429
  6. Step 6: Final answer
    x = 26,768,671.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.