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Finding the Third Proportional to 10,282,714,366.50 and 14,208,375,298.50

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Solution

The third proportional to 10,282,714,366.50 and 14,208,375,298.50 is: 19,632,746,902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282,714,366.50 : 14,208,375,298.50 = 14,208,375,298.50 : x
  2. Step 2: Convert to fraction form
    10,282,714,366.50/14,208,375,298.50 = 14,208,375,298.50/x
  3. Step 3: Cross multiply
    10,282,714,366.50x = 14,208,375,298.50 × 14,208,375,298.50
  4. Step 4: Simplify right side
    10,282,714,366.50x = 201,877,928,623,024,963,584
  5. Step 5: Solve for x
    x = 201,877,928,623,024,963,584/10,282,714,366.50
  6. Step 6: Final answer
    x = 19,632,746,902.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.