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Finding the Third Proportional to 6,619,874,472 and 14,402,001,312

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Solution

The third proportional to 6,619,874,472 and 14,402,001,312 is: 31,332,564,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619,874,472 : 14,402,001,312 = 14,402,001,312 : x
  2. Step 2: Convert to fraction form
    6,619,874,472/14,402,001,312 = 14,402,001,312/x
  3. Step 3: Cross multiply
    6,619,874,472x = 14,402,001,312 × 14,402,001,312
  4. Step 4: Simplify right side
    6,619,874,472x = 207,417,641,790,849,712,128
  5. Step 5: Solve for x
    x = 207,417,641,790,849,712,128/6,619,874,472
  6. Step 6: Final answer
    x = 31,332,564,185.04

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Why These Related Problems?

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