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Finding the Third Proportional to 510,039,775,232 and 1,116,160,304,140

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Solution

The third proportional to 510,039,775,232 and 1,116,160,304,140 is: 2,442,581,706,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,039,775,232 : 1,116,160,304,140 = 1,116,160,304,140 : x
  2. Step 2: Convert to fraction form
    510,039,775,232/1,116,160,304,140 = 1,116,160,304,140/x
  3. Step 3: Cross multiply
    510,039,775,232x = 1,116,160,304,140 × 1,116,160,304,140
  4. Step 4: Simplify right side
    510,039,775,232x = 1,245,813,824,537,897,281,257,472
  5. Step 5: Solve for x
    x = 1,245,813,824,537,897,281,257,472/510,039,775,232
  6. Step 6: Final answer
    x = 2,442,581,706,438.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.