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Finding the Third Proportional to 562,584,996 and 1,216,125,432

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Solution

The third proportional to 562,584,996 and 1,216,125,432 is: 2,628,866,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,584,996 : 1,216,125,432 = 1,216,125,432 : x
  2. Step 2: Convert to fraction form
    562,584,996/1,216,125,432 = 1,216,125,432/x
  3. Step 3: Cross multiply
    562,584,996x = 1,216,125,432 × 1,216,125,432
  4. Step 4: Simplify right side
    562,584,996x = 1,478,961,066,357,186,560
  5. Step 5: Solve for x
    x = 1,478,961,066,357,186,560/562,584,996
  6. Step 6: Final answer
    x = 2,628,866,885.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.