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Finding the Third Proportional to 1,570,454,213 and 3,402,636,633

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Solution

The third proportional to 1,570,454,213 and 3,402,636,633 is: 7,372,348,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,454,213 : 3,402,636,633 = 3,402,636,633 : x
  2. Step 2: Convert to fraction form
    1,570,454,213/3,402,636,633 = 3,402,636,633/x
  3. Step 3: Cross multiply
    1,570,454,213x = 3,402,636,633 × 3,402,636,633
  4. Step 4: Simplify right side
    1,570,454,213x = 11,577,936,056,233,576,448
  5. Step 5: Solve for x
    x = 11,577,936,056,233,576,448/1,570,454,213
  6. Step 6: Final answer
    x = 7,372,348,687.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.