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Finding the Third Proportional to 4,106,011,480 and 8,429,695,088

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Solution

The third proportional to 4,106,011,480 and 8,429,695,088 is: 17,306,273,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106,011,480 : 8,429,695,088 = 8,429,695,088 : x
  2. Step 2: Convert to fraction form
    4,106,011,480/8,429,695,088 = 8,429,695,088/x
  3. Step 3: Cross multiply
    4,106,011,480x = 8,429,695,088 × 8,429,695,088
  4. Step 4: Simplify right side
    4,106,011,480x = 71,059,759,276,651,331,584
  5. Step 5: Solve for x
    x = 71,059,759,276,651,331,584/4,106,011,480
  6. Step 6: Final answer
    x = 17,306,273,892.02

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Why These Related Problems?

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