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Finding the Third Proportional to 5,858,460 and 12,346,776

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Solution

The third proportional to 5,858,460 and 12,346,776 is: 26,020,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858,460 : 12,346,776 = 12,346,776 : x
  2. Step 2: Convert to fraction form
    5,858,460/12,346,776 = 12,346,776/x
  3. Step 3: Cross multiply
    5,858,460x = 12,346,776 × 12,346,776
  4. Step 4: Simplify right side
    5,858,460x = 152,442,877,594,176
  5. Step 5: Solve for x
    x = 152,442,877,594,176/5,858,460
  6. Step 6: Final answer
    x = 26,020,981.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.