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Finding the Third Proportional to 552,271,859,688 and 1,290,356,259,618

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Solution

The third proportional to 552,271,859,688 and 1,290,356,259,618 is: 3,014,854,455,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,271,859,688 : 1,290,356,259,618 = 1,290,356,259,618 : x
  2. Step 2: Convert to fraction form
    552,271,859,688/1,290,356,259,618 = 1,290,356,259,618/x
  3. Step 3: Cross multiply
    552,271,859,688x = 1,290,356,259,618 × 1,290,356,259,618
  4. Step 4: Simplify right side
    552,271,859,688x = 1,665,019,276,735,355,291,697,152
  5. Step 5: Solve for x
    x = 1,665,019,276,735,355,291,697,152/552,271,859,688
  6. Step 6: Final answer
    x = 3,014,854,455,332.90

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.