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Finding the Third Proportional to 1,615,127,916 and 3,513,691,032

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Solution

The third proportional to 1,615,127,916 and 3,513,691,032 is: 7,643,991,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,127,916 : 3,513,691,032 = 3,513,691,032 : x
  2. Step 2: Convert to fraction form
    1,615,127,916/3,513,691,032 = 3,513,691,032/x
  3. Step 3: Cross multiply
    1,615,127,916x = 3,513,691,032 × 3,513,691,032
  4. Step 4: Simplify right side
    1,615,127,916x = 12,346,024,668,357,224,448
  5. Step 5: Solve for x
    x = 12,346,024,668,357,224,448/1,615,127,916
  6. Step 6: Final answer
    x = 7,643,991,875.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.