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Finding the Third Proportional to 1,550,583,735 and 3,402,445,311

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Solution

The third proportional to 1,550,583,735 and 3,402,445,311 is: 7,465,984,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550,583,735 : 3,402,445,311 = 3,402,445,311 : x
  2. Step 2: Convert to fraction form
    1,550,583,735/3,402,445,311 = 3,402,445,311/x
  3. Step 3: Cross multiply
    1,550,583,735x = 3,402,445,311 × 3,402,445,311
  4. Step 4: Simplify right side
    1,550,583,735x = 11,576,634,094,345,887,744
  5. Step 5: Solve for x
    x = 11,576,634,094,345,887,744/1,550,583,735
  6. Step 6: Final answer
    x = 7,465,984,476.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.