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Finding the Third Proportional to 662,535,486 and 1,435,487,526

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Solution

The third proportional to 662,535,486 and 1,435,487,526 is: 3,110,209,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,535,486 : 1,435,487,526 = 1,435,487,526 : x
  2. Step 2: Convert to fraction form
    662,535,486/1,435,487,526 = 1,435,487,526/x
  3. Step 3: Cross multiply
    662,535,486x = 1,435,487,526 × 1,435,487,526
  4. Step 4: Simplify right side
    662,535,486x = 2,060,624,437,301,600,768
  5. Step 5: Solve for x
    x = 2,060,624,437,301,600,768/662,535,486
  6. Step 6: Final answer
    x = 3,110,209,914.55

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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.