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Finding the Third Proportional to 1,357,281,141,870 and 2,952,860,340,012

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Solution

The third proportional to 1,357,281,141,870 and 2,952,860,340,012 is: 6,424,154,818,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,281,141,870 : 2,952,860,340,012 = 2,952,860,340,012 : x
  2. Step 2: Convert to fraction form
    1,357,281,141,870/2,952,860,340,012 = 2,952,860,340,012/x
  3. Step 3: Cross multiply
    1,357,281,141,870x = 2,952,860,340,012 × 2,952,860,340,012
  4. Step 4: Simplify right side
    1,357,281,141,870x = 8,719,384,187,615,784,520,908,800
  5. Step 5: Solve for x
    x = 8,719,384,187,615,784,520,908,800/1,357,281,141,870
  6. Step 6: Final answer
    x = 6,424,154,818,509.17

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