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Finding the Third Proportional to 3,021,900,658.50 and 6,502,966,345.50

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Solution

The third proportional to 3,021,900,658.50 and 6,502,966,345.50 is: 13,994,030,932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021,900,658.50 : 6,502,966,345.50 = 6,502,966,345.50 : x
  2. Step 2: Convert to fraction form
    3,021,900,658.50/6,502,966,345.50 = 6,502,966,345.50/x
  3. Step 3: Cross multiply
    3,021,900,658.50x = 6,502,966,345.50 × 6,502,966,345.50
  4. Step 4: Simplify right side
    3,021,900,658.50x = 42,288,571,290,705,625,088
  5. Step 5: Solve for x
    x = 42,288,571,290,705,625,088/3,021,900,658.50
  6. Step 6: Final answer
    x = 13,994,030,932.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.