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Finding the Third Proportional to 1,188,457,413 and 2,606,497,095

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Solution

The third proportional to 1,188,457,413 and 2,606,497,095 is: 5,716,508,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,457,413 : 2,606,497,095 = 2,606,497,095 : x
  2. Step 2: Convert to fraction form
    1,188,457,413/2,606,497,095 = 2,606,497,095/x
  3. Step 3: Cross multiply
    1,188,457,413x = 2,606,497,095 × 2,606,497,095
  4. Step 4: Simplify right side
    1,188,457,413x = 6,793,827,106,243,438,592
  5. Step 5: Solve for x
    x = 6,793,827,106,243,438,592/1,188,457,413
  6. Step 6: Final answer
    x = 5,716,508,670.76

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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.