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Finding the Third Proportional to 688,696,854.75 and 1,406,300,503.50

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Solution

The third proportional to 688,696,854.75 and 1,406,300,503.50 is: 2,871,627,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,696,854.75 : 1,406,300,503.50 = 1,406,300,503.50 : x
  2. Step 2: Convert to fraction form
    688,696,854.75/1,406,300,503.50 = 1,406,300,503.50/x
  3. Step 3: Cross multiply
    688,696,854.75x = 1,406,300,503.50 × 1,406,300,503.50
  4. Step 4: Simplify right side
    688,696,854.75x = 1,977,681,106,144,353,536
  5. Step 5: Solve for x
    x = 1,977,681,106,144,353,536/688,696,854.75
  6. Step 6: Final answer
    x = 2,871,627,904.94

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.