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Finding the Third Proportional to 1,570,454,208 and 3,402,636,624

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Solution

The third proportional to 1,570,454,208 and 3,402,636,624 is: 7,372,348,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,454,208 : 3,402,636,624 = 3,402,636,624 : x
  2. Step 2: Convert to fraction form
    1,570,454,208/3,402,636,624 = 3,402,636,624/x
  3. Step 3: Cross multiply
    1,570,454,208x = 3,402,636,624 × 3,402,636,624
  4. Step 4: Simplify right side
    1,570,454,208x = 11,577,935,994,986,117,120
  5. Step 5: Solve for x
    x = 11,577,935,994,986,117,120/1,570,454,208
  6. Step 6: Final answer
    x = 7,372,348,672.13

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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.