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Finding the Third Proportional to 746,063,935,653.51 and 1,146,045,477,828.40

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Solution

The third proportional to 746,063,935,653.51 and 1,146,045,477,828.40 is: 1,760,466,059,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,063,935,653.51 : 1,146,045,477,828.40 = 1,146,045,477,828.40 : x
  2. Step 2: Convert to fraction form
    746,063,935,653.51/1,146,045,477,828.40 = 1,146,045,477,828.40/x
  3. Step 3: Cross multiply
    746,063,935,653.51x = 1,146,045,477,828.40 × 1,146,045,477,828.40
  4. Step 4: Simplify right side
    746,063,935,653.51x = 1,313,420,237,250,925,437,124,608
  5. Step 5: Solve for x
    x = 1,313,420,237,250,925,437,124,608/746,063,935,653.51
  6. Step 6: Final answer
    x = 1,760,466,059,923.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.