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Finding the Third Proportional to 7,856,442 and 16,913,588

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Solution

The third proportional to 7,856,442 and 16,913,588 is: 36,412,088.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856,442 : 16,913,588 = 16,913,588 : x
  2. Step 2: Convert to fraction form
    7,856,442/16,913,588 = 16,913,588/x
  3. Step 3: Cross multiply
    7,856,442x = 16,913,588 × 16,913,588
  4. Step 4: Simplify right side
    7,856,442x = 286,069,459,033,744
  5. Step 5: Solve for x
    x = 286,069,459,033,744/7,856,442
  6. Step 6: Final answer
    x = 36,412,088.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.