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Finding the Third Proportional to 567,909,488 and 849,594,025

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Solution

The third proportional to 567,909,488 and 849,594,025 is: 1,270,994,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,909,488 : 849,594,025 = 849,594,025 : x
  2. Step 2: Convert to fraction form
    567,909,488/849,594,025 = 849,594,025/x
  3. Step 3: Cross multiply
    567,909,488x = 849,594,025 × 849,594,025
  4. Step 4: Simplify right side
    567,909,488x = 721,810,007,315,700,608
  5. Step 5: Solve for x
    x = 721,810,007,315,700,608/567,909,488
  6. Step 6: Final answer
    x = 1,270,994,802.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.