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Finding the Third Proportional to 651,642,124,248 and 1,402,875,450,143

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Solution

The third proportional to 651,642,124,248 and 1,402,875,450,143 is: 3,020,153,939,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,642,124,248 : 1,402,875,450,143 = 1,402,875,450,143 : x
  2. Step 2: Convert to fraction form
    651,642,124,248/1,402,875,450,143 = 1,402,875,450,143/x
  3. Step 3: Cross multiply
    651,642,124,248x = 1,402,875,450,143 × 1,402,875,450,143
  4. Step 4: Simplify right side
    651,642,124,248x = 1,968,059,528,613,924,849,057,792
  5. Step 5: Solve for x
    x = 1,968,059,528,613,924,849,057,792/651,642,124,248
  6. Step 6: Final answer
    x = 3,020,153,939,380.58

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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.