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Finding the Third Proportional to 6,691,926,502 and 10,011,357,506

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Solution

The third proportional to 6,691,926,502 and 10,011,357,506 is: 14,977,343,083.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691,926,502 : 10,011,357,506 = 10,011,357,506 : x
  2. Step 2: Convert to fraction form
    6,691,926,502/10,011,357,506 = 10,011,357,506/x
  3. Step 3: Cross multiply
    6,691,926,502x = 10,011,357,506 × 10,011,357,506
  4. Step 4: Simplify right side
    6,691,926,502x = 100,227,279,112,942,534,656
  5. Step 5: Solve for x
    x = 100,227,279,112,942,534,656/6,691,926,502
  6. Step 6: Final answer
    x = 14,977,343,083.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.