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Finding the Third Proportional to 3,066,710,207 and 6,564,220,317

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Solution

The third proportional to 3,066,710,207 and 6,564,220,317 is: 14,050,557,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,710,207 : 6,564,220,317 = 6,564,220,317 : x
  2. Step 2: Convert to fraction form
    3,066,710,207/6,564,220,317 = 6,564,220,317/x
  3. Step 3: Cross multiply
    3,066,710,207x = 6,564,220,317 × 6,564,220,317
  4. Step 4: Simplify right side
    3,066,710,207x = 43,088,988,370,115,584,000
  5. Step 5: Solve for x
    x = 43,088,988,370,115,584,000/3,066,710,207
  6. Step 6: Final answer
    x = 14,050,557,588.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.