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Finding the Third Proportional to 451,130,017.50 and 717,836,541.75

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Solution

The third proportional to 451,130,017.50 and 717,836,541.75 is: 1,142,219,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,130,017.50 : 717,836,541.75 = 717,836,541.75 : x
  2. Step 2: Convert to fraction form
    451,130,017.50/717,836,541.75 = 717,836,541.75/x
  3. Step 3: Cross multiply
    451,130,017.50x = 717,836,541.75 × 717,836,541.75
  4. Step 4: Simplify right side
    451,130,017.50x = 515,289,300,671,599,488
  5. Step 5: Solve for x
    x = 515,289,300,671,599,488/451,130,017.50
  6. Step 6: Final answer
    x = 1,142,219,051.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.