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Finding the Third Proportional to 32,708,773,950,624 and 70,640,023,424,640

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Solution

The third proportional to 32,708,773,950,624 and 70,640,023,424,640 is: 152,558,849,101,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,708,773,950,624 : 70,640,023,424,640 = 70,640,023,424,640 : x
  2. Step 2: Convert to fraction form
    32,708,773,950,624/70,640,023,424,640 = 70,640,023,424,640/x
  3. Step 3: Cross multiply
    32,708,773,950,624x = 70,640,023,424,640 × 70,640,023,424,640
  4. Step 4: Simplify right side
    32,708,773,950,624x = 4,990,012,909,433,687,964,651,618,304
  5. Step 5: Solve for x
    x = 4,990,012,909,433,687,964,651,618,304/32,708,773,950,624
  6. Step 6: Final answer
    x = 152,558,849,101,664.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.