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Finding the Third Proportional to 369,792,562,796.15 and 795,237,634,692.80

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Solution

The third proportional to 369,792,562,796.15 and 795,237,634,692.80 is: 1,710,155,798,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,792,562,796.15 : 795,237,634,692.80 = 795,237,634,692.80 : x
  2. Step 2: Convert to fraction form
    369,792,562,796.15/795,237,634,692.80 = 795,237,634,692.80/x
  3. Step 3: Cross multiply
    369,792,562,796.15x = 795,237,634,692.80 × 795,237,634,692.80
  4. Step 4: Simplify right side
    369,792,562,796.15x = 632,402,895,631,799,352,819,712
  5. Step 5: Solve for x
    x = 632,402,895,631,799,352,819,712/369,792,562,796.15
  6. Step 6: Final answer
    x = 1,710,155,798,834.75

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1.5x scale

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.