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Finding the Third Proportional to 3,066,710,205 and 6,564,220,312.50

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Solution

The third proportional to 3,066,710,205 and 6,564,220,312.50 is: 14,050,557,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,710,205 : 6,564,220,312.50 = 6,564,220,312.50 : x
  2. Step 2: Convert to fraction form
    3,066,710,205/6,564,220,312.50 = 6,564,220,312.50/x
  3. Step 3: Cross multiply
    3,066,710,205x = 6,564,220,312.50 × 6,564,220,312.50
  4. Step 4: Simplify right side
    3,066,710,205x = 43,088,988,311,037,599,744
  5. Step 5: Solve for x
    x = 43,088,988,311,037,599,744/3,066,710,205
  6. Step 6: Final answer
    x = 14,050,557,578.21

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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.