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Finding the Third Proportional to 580,628,235,751.60 and 910,834,371,653.35

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Solution

The third proportional to 580,628,235,751.60 and 910,834,371,653.35 is: 1,428,830,362,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,628,235,751.60 : 910,834,371,653.35 = 910,834,371,653.35 : x
  2. Step 2: Convert to fraction form
    580,628,235,751.60/910,834,371,653.35 = 910,834,371,653.35/x
  3. Step 3: Cross multiply
    580,628,235,751.60x = 910,834,371,653.35 × 910,834,371,653.35
  4. Step 4: Simplify right side
    580,628,235,751.60x = 829,619,252,585,152,815,038,464
  5. Step 5: Solve for x
    x = 829,619,252,585,152,815,038,464/580,628,235,751.60
  6. Step 6: Final answer
    x = 1,428,830,362,531.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.