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Finding the Third Proportional to 748,697,542.50 and 1,615,771,927.50

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Solution

The third proportional to 748,697,542.50 and 1,615,771,927.50 is: 3,487,014,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,697,542.50 : 1,615,771,927.50 = 1,615,771,927.50 : x
  2. Step 2: Convert to fraction form
    748,697,542.50/1,615,771,927.50 = 1,615,771,927.50/x
  3. Step 3: Cross multiply
    748,697,542.50x = 1,615,771,927.50 × 1,615,771,927.50
  4. Step 4: Simplify right side
    748,697,542.50x = 2,610,718,921,697,065,472
  5. Step 5: Solve for x
    x = 2,610,718,921,697,065,472/748,697,542.50
  6. Step 6: Final answer
    x = 3,487,014,145.90

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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.