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Finding the Third Proportional to 566,966,367 and 788,321,416.50

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Solution

The third proportional to 566,966,367 and 788,321,416.50 is: 1,096,097,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,966,367 : 788,321,416.50 = 788,321,416.50 : x
  2. Step 2: Convert to fraction form
    566,966,367/788,321,416.50 = 788,321,416.50/x
  3. Step 3: Cross multiply
    566,966,367x = 788,321,416.50 × 788,321,416.50
  4. Step 4: Simplify right side
    566,966,367x = 621,450,655,712,566,528
  5. Step 5: Solve for x
    x = 621,450,655,712,566,528/566,966,367
  6. Step 6: Final answer
    x = 1,096,097,920.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.