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Finding the Third Proportional to 370,459,406.25 and 805,486,430.25

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Solution

The third proportional to 370,459,406.25 and 805,486,430.25 is: 1,751,361,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,459,406.25 : 805,486,430.25 = 805,486,430.25 : x
  2. Step 2: Convert to fraction form
    370,459,406.25/805,486,430.25 = 805,486,430.25/x
  3. Step 3: Cross multiply
    370,459,406.25x = 805,486,430.25 × 805,486,430.25
  4. Step 4: Simplify right side
    370,459,406.25x = 648,808,389,316,888,064
  5. Step 5: Solve for x
    x = 648,808,389,316,888,064/370,459,406.25
  6. Step 6: Final answer
    x = 1,751,361,629.29

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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.