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Finding the Third Proportional to 526,891,462,459.88 and 710,900,297,239.50

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Solution

The third proportional to 526,891,462,459.88 and 710,900,297,239.50 is: 959,171,420,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,891,462,459.88 : 710,900,297,239.50 = 710,900,297,239.50 : x
  2. Step 2: Convert to fraction form
    526,891,462,459.88/710,900,297,239.50 = 710,900,297,239.50/x
  3. Step 3: Cross multiply
    526,891,462,459.88x = 710,900,297,239.50 × 710,900,297,239.50
  4. Step 4: Simplify right side
    526,891,462,459.88x = 505,379,232,615,209,461,874,688
  5. Step 5: Solve for x
    x = 505,379,232,615,209,461,874,688/526,891,462,459.88
  6. Step 6: Final answer
    x = 959,171,420,724.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.