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Finding the Third Proportional to 808,887,970 and 1,742,731,420

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Solution

The third proportional to 808,887,970 and 1,742,731,420 is: 3,754,676,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,887,970 : 1,742,731,420 = 1,742,731,420 : x
  2. Step 2: Convert to fraction form
    808,887,970/1,742,731,420 = 1,742,731,420/x
  3. Step 3: Cross multiply
    808,887,970x = 1,742,731,420 × 1,742,731,420
  4. Step 4: Simplify right side
    808,887,970x = 3,037,112,802,255,216,640
  5. Step 5: Solve for x
    x = 3,037,112,802,255,216,640/808,887,970
  6. Step 6: Final answer
    x = 3,754,676,685.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.