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Finding the Third Proportional to 4,106,011,490 and 8,429,695,108

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Solution

The third proportional to 4,106,011,490 and 8,429,695,108 is: 17,306,273,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106,011,490 : 8,429,695,108 = 8,429,695,108 : x
  2. Step 2: Convert to fraction form
    4,106,011,490/8,429,695,108 = 8,429,695,108/x
  3. Step 3: Cross multiply
    4,106,011,490x = 8,429,695,108 × 8,429,695,108
  4. Step 4: Simplify right side
    4,106,011,490x = 71,059,759,613,839,130,624
  5. Step 5: Solve for x
    x = 71,059,759,613,839,130,624/4,106,011,490
  6. Step 6: Final answer
    x = 17,306,273,931.99

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.