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Finding the Third Proportional to 1,500,405,693,547 and 2,024,399,567,661

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Solution

The third proportional to 1,500,405,693,547 and 2,024,399,567,661 is: 2,731,390,334,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,405,693,547 : 2,024,399,567,661 = 2,024,399,567,661 : x
  2. Step 2: Convert to fraction form
    1,500,405,693,547/2,024,399,567,661 = 2,024,399,567,661/x
  3. Step 3: Cross multiply
    1,500,405,693,547x = 2,024,399,567,661 × 2,024,399,567,661
  4. Step 4: Simplify right side
    1,500,405,693,547x = 4,098,193,609,546,043,689,533,440
  5. Step 5: Solve for x
    x = 4,098,193,609,546,043,689,533,440/1,500,405,693,547
  6. Step 6: Final answer
    x = 2,731,390,334,741.93

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.