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Finding the Third Proportional to 7,697,931 and 10,762,160

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Solution

The third proportional to 7,697,931 and 10,762,160 is: 15,046,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697,931 : 10,762,160 = 10,762,160 : x
  2. Step 2: Convert to fraction form
    7,697,931/10,762,160 = 10,762,160/x
  3. Step 3: Cross multiply
    7,697,931x = 10,762,160 × 10,762,160
  4. Step 4: Simplify right side
    7,697,931x = 115,824,087,865,600
  5. Step 5: Solve for x
    x = 115,824,087,865,600/7,697,931
  6. Step 6: Final answer
    x = 15,046,132.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.