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Finding the Third Proportional to 865,243,078,704 and 1,271,945,708,919

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Solution

The third proportional to 865,243,078,704 and 1,271,945,708,919 is: 1,869,816,617,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,243,078,704 : 1,271,945,708,919 = 1,271,945,708,919 : x
  2. Step 2: Convert to fraction form
    865,243,078,704/1,271,945,708,919 = 1,271,945,708,919/x
  3. Step 3: Cross multiply
    865,243,078,704x = 1,271,945,708,919 × 1,271,945,708,919
  4. Step 4: Simplify right side
    865,243,078,704x = 1,617,845,886,437,457,506,861,056
  5. Step 5: Solve for x
    x = 1,617,845,886,437,457,506,861,056/865,243,078,704
  6. Step 6: Final answer
    x = 1,869,816,617,153.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.