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Finding the Third Proportional to 1,216,595,365.03 and 2,497,686,066.28

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Solution

The third proportional to 1,216,595,365.03 and 2,497,686,066.28 is: 5,127,781,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,595,365.03 : 2,497,686,066.28 = 2,497,686,066.28 : x
  2. Step 2: Convert to fraction form
    1,216,595,365.03/2,497,686,066.28 = 2,497,686,066.28/x
  3. Step 3: Cross multiply
    1,216,595,365.03x = 2,497,686,066.28 × 2,497,686,066.28
  4. Step 4: Simplify right side
    1,216,595,365.03x = 6,238,435,685,695,254,528
  5. Step 5: Solve for x
    x = 6,238,435,685,695,254,528/1,216,595,365.03
  6. Step 6: Final answer
    x = 5,127,781,894.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.