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Finding the Third Proportional to 662,535,720 and 1,435,487,952

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Solution

The third proportional to 662,535,720 and 1,435,487,952 is: 3,110,210,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,535,720 : 1,435,487,952 = 1,435,487,952 : x
  2. Step 2: Convert to fraction form
    662,535,720/1,435,487,952 = 1,435,487,952/x
  3. Step 3: Cross multiply
    662,535,720x = 1,435,487,952 × 1,435,487,952
  4. Step 4: Simplify right side
    662,535,720x = 2,060,625,660,337,154,304
  5. Step 5: Solve for x
    x = 2,060,625,660,337,154,304/662,535,720
  6. Step 6: Final answer
    x = 3,110,210,662.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.