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Finding the Third Proportional to 651,642,124,257 and 1,402,875,450,159

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Solution

The third proportional to 651,642,124,257 and 1,402,875,450,159 is: 3,020,153,939,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,642,124,257 : 1,402,875,450,159 = 1,402,875,450,159 : x
  2. Step 2: Convert to fraction form
    651,642,124,257/1,402,875,450,159 = 1,402,875,450,159/x
  3. Step 3: Cross multiply
    651,642,124,257x = 1,402,875,450,159 × 1,402,875,450,159
  4. Step 4: Simplify right side
    651,642,124,257x = 1,968,059,528,658,816,920,977,408
  5. Step 5: Solve for x
    x = 1,968,059,528,658,816,920,977,408/651,642,124,257
  6. Step 6: Final answer
    x = 3,020,153,939,407.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.