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Finding the Third Proportional to 6,860,160 and 14,665,428

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Solution

The third proportional to 6,860,160 and 14,665,428 is: 31,351,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860,160 : 14,665,428 = 14,665,428 : x
  2. Step 2: Convert to fraction form
    6,860,160/14,665,428 = 14,665,428/x
  3. Step 3: Cross multiply
    6,860,160x = 14,665,428 × 14,665,428
  4. Step 4: Simplify right side
    6,860,160x = 215,074,778,423,184
  5. Step 5: Solve for x
    x = 215,074,778,423,184/6,860,160
  6. Step 6: Final answer
    x = 31,351,277.29

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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.